{"id":670,"date":"2013-05-28T14:25:25","date_gmt":"2013-05-28T14:25:25","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=670"},"modified":"2026-03-26T13:01:18","modified_gmt":"2026-03-26T18:01:18","slug":"percent-increase-vs-percent-of-whole","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/percent-increase-vs-percent-of-whole\/","title":{"rendered":"Percent Increase vs. Percent of Whole"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_pNm2tcEmQiI\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_pNm2tcEmQiI\" data-source-videoID=\"pNm2tcEmQiI\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Percent Increase vs. Percent of Whole Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Percent Increase vs. Percent of Whole\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_pNm2tcEmQiI:hover {cursor:pointer;} img#videoThumbnailImage_pNm2tcEmQiI {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/462-percent-increase-vs-percent-of-whole-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_pNm2tcEmQiI\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_pNm2tcEmQiI\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Percent Increase vs. Percent of Whole\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_pNm2tcEmQiI\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_pNm2tcEmQiI\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_pNm2tcEmQiI\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction dIM_Function() {\n  var x = document.getElementById(\"dIM\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"dIM_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"dIM\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#Finding_a_Percent\" class=\"smooth-scroll\">Finding a Percent<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#How_to_Calculate_Percentage_Increase\" class=\"smooth-scroll\">How to Calculate Percentage Increase<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Practice_Questions\" class=\"smooth-scroll\">Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hello, and welcome to this Mometrix video lesson on the difference between a percent increase and a percent of a whole number.<\/p>\n<h2><span id=\"Finding_a_Percent\" class=\"m-toc-anchor\"><\/span>Finding a Percent<\/h2>\n<p>\nThe percent of a whole number means a part of a number. To determine the percent of a number, simply multiply the whole number by the percent. When you\u2019ve reached an answer, move your <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/decimals\/\">decimal<\/a> point two places to the left.<\/p>\n<p>It\u2019s important to note, you will NOT label your final number as a percent.<\/p>\n<p>Here\u2019s what the formula looks like written out. Let \\(P\\) stand for &#8220;part of,&#8221; and let \\(n\\) represent a given number.<\/p>\n<div class=\"examplesentence\">\\(P=n(\\%)\\)<\/div>\n<p>\n&nbsp;<br \/>\nNow, let\u2019s try a couple of examples.<\/p>\n<h3><span id=\"Example_1_1\" class=\"m-toc-anchor\"><\/span>Example #1<\/h3>\n<p>\nWhat is 40% of 30? To answer this question, let\u2019s follow our formula.<\/p>\n<div class=\"examplesentence\">\\(P= 30(40)\\)<br \/>\n\\(P= 1,200\\)<\/div>\n<p>\n&nbsp;<br \/>\nNow that we have our number, what should we do next? That\u2019s right, we need to add our decimal point.<\/p>\n<p>Our final answer is \\(P = 12\\).<\/p>\n<h3><span id=\"Example_2\" class=\"m-toc-anchor\"><\/span>Example #2<\/h3>\n<p>\nWhat is 60% of 55?<\/p>\n<div class=\"examplesentence\">\\(P= 55(60)\\)<br \/>\n\\(P= 3,300\\)<\/div>\n<p>\n&nbsp;<br \/>\nAdd the decimal point<\/p>\n<div class=\"examplesentence\">\\(P= 33\\)<\/div>\n<p>\n&nbsp;<br \/>\nOur final answer is 60% of 55 is 33.<\/p>\n<p>That\u2019s just finding the regular percent of a number.<\/p>\n<h2><span id=\"How_to_Calculate_Percentage_Increase\" class=\"m-toc-anchor\"><\/span>How to Calculate Percentage Increase<\/h2>\n<p>\nThe percent increase of a number is just what it sounds like. It\u2019s finding the <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/percentages\/\">percentage<\/a> by which a number has increased to another number. <\/p>\n<p>To find the percent increase of a number, you need to subtract the original number from your new number, divide that answer by the original number and then multiply the final answer by 100. You WILL label your final answer as a percent.<\/p>\n<p>Let\u2019s look at the formula written out, that might be a little easier to understand. Let \\(I\\) stand for &#8220;increase,&#8221; \\(N\\) for &#8220;new number,&#8221; and \\(O\\) for &#8220;original number.&#8221;<\/p>\n<div class=\"examplesentence\">\\(I=\\frac{N-O}{O}\\times 100\\%\\)<\/div>\n<p>\n&nbsp;<br \/>\nWorking through a couple of examples might help you understand.<\/p>\n<h3><span id=\"Example_1_1\" class=\"m-toc-anchor\"><\/span>Example #1<\/h3>\n<p>\nWhat is the percent increase of 78 to 110? First, let\u2019s identify our different parts for our equation! Our original number (\\(O\\)) is 78. The new number (\\(N\\)) is 110.<\/p>\n<div class=\"examplesentence\">\\(I=\\frac{110-78}{78}\\times 100\\%\\)<br \/>\n\\(I=\\frac{32}{78}\\times 100\\%\\)<br \/>\n\\(I=.410\\times 100\\%\\)<br \/>\n\\(I=41\\%\\)<\/div>\n<p>\n&nbsp;<br \/>\nThe percent increase from 78 to 110 is 41%.<\/p>\n<h3><span id=\"Example_2\" class=\"m-toc-anchor\"><\/span>Example #2<\/h3>\n<p>\nWhat is the percent increase of 17 to 72? The original number (\\(O\\)) is 17. The new number (\\(N\\)) is 72.<\/p>\n<div class=\"examplesentence\">\\(I\\frac{72-17)}{17}\\times 100\\%\\)<br \/>\n\\(I=\\frac{55}{17}\\times 100\\%\\)<br \/>\n\\(I=3.23\\times 100\\%\\)<br \/>\n\\(I= 323\\%\\)<\/div>\n<p>\n&nbsp;<br \/>\nThe percent increase from 17 to 72 is 323%.<\/p>\n<p>Thank you for joining us on learning the differences between percent increase and percent of a whole number. Happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\">Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhat is 60% of 30?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">14<\/div><div class=\"PQ\"  id=\"PQ-1-2\">16<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-3\">18<\/div><div class=\"PQ\"  id=\"PQ-1-4\">20<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>60% of 30 can be calculated using the formula \\(P=n(\\%)\\), where \\(P\\) represents \u201cpart of\u201d and \\(n\\) represents the \u201cgiven number.\u201d<\/p>\n<p>60% as a decimal is 0.60. The formula becomes \\(P=30\\times0.60\\), which simplifies to 18. Therefore, 18 is 60% of 30.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhat is 24% of 55?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-2-1\">13.2<\/div><div class=\"PQ\"  id=\"PQ-2-2\">13.8<\/div><div class=\"PQ\"  id=\"PQ-2-3\">11.3<\/div><div class=\"PQ\"  id=\"PQ-2-4\">11.9<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>24% of 55 can be calculated using the formula \\(P=n(\\%)\\), where \\(P\\) represents  \u201cpart of\u201d and \\(n\\) represents the \u201cgiven number.\u201d<\/p>\n<p>24% is equal to 0.24. Therefore, the formula becomes \\(P=55\\times0.24\\), which simplifies to 13.2. Therefore, 13.2 is 24% of 50.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhat is 12% of 400?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-3-1\">40.5<\/div><div class=\"PQ\"  id=\"PQ-3-2\">31<\/div><div class=\"PQ\"  id=\"PQ-3-3\">37<\/div><div class=\"PQ correct_answer\"  id=\"PQ-3-4\">48<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>12% of 400 can be calculated using the formula \\(P=n(\\%)\\), where \\(P\\) represents \u201cpart of\u201d and \\(n\\) represents the \u201cgiven number.\u201d<\/p>\n<p>12% is equal to 0.12 as a decimal, so the formula becomes \\(P=400\\times0.12\\), which simplifies to 48. Therefore, 48 is 12% of 400. <\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhat is the percent increase from 12 to 50?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">112.4%<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-2\">316.7%<\/div><div class=\"PQ\"  id=\"PQ-4-3\">212.7%<\/div><div class=\"PQ\"  id=\"PQ-4-4\">391.4%<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The percent increase from 12 to 50 can be calculated using the formula: <\/p>\n<p style=\"text-align: center;\">\\(I=\\dfrac{N-O}{O}\\times100\\%\\)<\/p>\n<p>Here, \\(I\\) represents \u201cincrease,\u201d \\(N\\) represents \u201cnew number,\u201d and \\(O\\) represents \u201coriginal number.\u201d<\/p>\n<p>The formula becomes:<\/p>\n<p style=\"text-align: center; line-height: 65px\">\\(I=\\dfrac{50-12}{12}\\times100\\%\\)<br \/>\n\\(I=\\dfrac{38}{12}\\times100\\%\\)\n<\/p>\n<p>The fraction \\(\\frac{38}{12}\\) equals approximately 3.167. Multiply this by 100% to get 316.7%.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nWhat is the percent increase from 25 to 90?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-5-1\">34%<\/div><div class=\"PQ\"  id=\"PQ-5-2\">90%<\/div><div class=\"PQ\"  id=\"PQ-5-3\">123%<\/div><div class=\"PQ correct_answer\"  id=\"PQ-5-4\">260%<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The percent increase from 25 to 90 can be calculated using the formula:<\/p>\n<p style=\"text-align:center;\">\\(I=\\dfrac{N-O}{O}\\times100\\%\\)<\/p>\n<p>Here, \\(I\\) represents \u201cincrease,\u201d \\(N\\) represents \u201cnew number,\u201d and \\(O\\) represents \u201coriginal number.\u201d<\/p>\n<p>The formula becomes:<\/p>\n<p style=\"text-align: center; line-height: 65px\">\\(I=\\dfrac{90-25}{25}\\times100\\%\\)<br \/>\n\\(I=\\dfrac{65}{25}\\times100\\%\\)\n<\/p>\n<p>The fraction \\(\\frac{65}{25}\\) equals 2.6. Multiply this by 100% to get 260%.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #6:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nKaya wants to buy a pair of jeans that are $28 and have been marked down 20%. How much money will Kaya save on the jeans?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-6-1\">$5.60<\/div><div class=\"PQ\"  id=\"PQ-6-2\">$8.00<\/div><div class=\"PQ\"  id=\"PQ-6-3\">$48.00<\/div><div class=\"PQ\"  id=\"PQ-6-4\">$560.00<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-6\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-6\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-6-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>To find the amount Kaya will save, we will multiply the price of the jeans by the marked down percentage. Convert the percentage to a decimal first by moving the decimal point two places to the left.<\/p>\n<p style=\"text-align: center\">\\(28 \\times 0.20 = 5.60\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-6-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-6-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #7:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nBruce pays $600 per month for rent. His landlord informs him that his rent will increase by 15% at the end of the month. How much will Bruce\u2019s rent increase, in dollars, by the end of the month?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-7-1\">$0.90<\/div><div class=\"PQ\"  id=\"PQ-7-2\">$9.00<\/div><div class=\"PQ correct_answer\"  id=\"PQ-7-3\">$90.00<\/div><div class=\"PQ\"  id=\"PQ-7-4\">$900.00<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-7\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-7\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-7-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>Since Bruce pays $600 for rent and the increase is 15%, we multiply 600 by 15. First convert the percentage to a decimal by moving the decimal point over two places to the left.<\/p>\n<p style=\"text-align: center\">\\(600 \\times 0.15 = 90\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-7-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-7-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #8:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSophia\u2019s gym membership increased from $83 to $102 per month. What is the percent increase for Sophia\u2019s gym membership?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-8-1\">0.2289%<\/div><div class=\"PQ\"  id=\"PQ-8-2\">2.289%<\/div><div class=\"PQ correct_answer\"  id=\"PQ-8-3\">22.89%<\/div><div class=\"PQ\"  id=\"PQ-8-4\">228.9%<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-8\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-8\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-8-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>We will use the formula to calculate the percent increase, which is to take the difference between the new price and the old price, divide it by the old price then multiply by 100, since we are looking for the percent increase.<\/p>\n<p>In this case, the difference between the new membership and old membership fee is 19. Divide that by 83 and multiply by 100 to get 22.89.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-8-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-8-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #9:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nZola buys a house for $230,000 in 2027. The value of her house increases by 45% after five years. What is the value of Zola\u2019s house in 2032?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-9-1\">$103,500<\/div><div class=\"PQ correct_answer\"  id=\"PQ-9-2\">$333,500<\/div><div class=\"PQ\"  id=\"PQ-9-3\">$356,500<\/div><div class=\"PQ\"  id=\"PQ-9-4\">$10,120,000[\/latex]<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-9\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-9\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-9-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>Since we know the old price of the house and the percent increase, we will substitute all the values we know into the formula for calculating percent increase. We will use the variable \\(n\\) to represent the new value of the house in 2032.<\/p>\n<p style=\"text-align: center\">\\(\\dfrac{n-230{,}000}{230{,}000} \\cdot 100=45\\)<\/p>\n<p>We will solve for \\(n\\) by dividing both sides by 100, eliminating the fraction, and then isolating the variable. The value of \\(n\\) is 333,500. Therefore, the value of Zola\u2019s house in 2032 is $333,500.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-9-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-9-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #10:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nA city\u2019s population grows from 96,200 to 99,400 in ten years. How much did the city\u2019s population grow, in percent, over the ten-year period?<\/p>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-10-1\">0.33%<\/div><div class=\"PQ correct_answer\"  id=\"PQ-10-2\">3.3%<\/div><div class=\"PQ\"  id=\"PQ-10-3\">33%<\/div><div class=\"PQ\"  id=\"PQ-10-4\">333%<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-10\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-10\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-10-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>The percent increase formula takes the difference between the new and old values, divides it by the old value, and then multiplies it by 100 to get the percent increase. The difference between the new and old city population is 3,200, divided by 96,200, then multiplied by 100, which is 3.32640<\/p>\n<p>Therefore, the city\u2019s population grew by 3.3% in ten years.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-10-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-10-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/algebra-i\/\">Return to Algebra I Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Algebra I Videos<\/p>\n","protected":false},"author":1,"featured_media":95368,"parent":0,"menu_order":27,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":{"0":"post-670","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-math-advertising-group","7":"page_category-ratios-and-percentages-videos","8":"page_type-video","9":"content_type-practice-questions","10":"subject_matter-math"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/670","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=670"}],"version-history":[{"count":5,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/670\/revisions"}],"predecessor-version":[{"id":280412,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/670\/revisions\/280412"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/95368"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=670"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}