{"id":254674,"date":"2025-04-25T16:51:12","date_gmt":"2025-04-25T21:51:12","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=254674"},"modified":"2026-04-23T15:41:54","modified_gmt":"2026-04-23T20:41:54","slug":"percentage-change-calculator","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/percentage-change-calculator\/","title":{"rendered":"Percentage Change Calculator"},"content":{"rendered":"<p>Use this calculator to help you with problems involving percentage increase and decrease.<\/p>\n<div id=\"percentChange\" class=\"calculatorcontainer\">\n<div class=\"percentChange-background\">\n<div class=\"percentChange-calculatorGuts\">\n<div>\n            <label for=\"initialInput\">Initial Value<\/label><br \/>\n            <input id=\"initialInput\" type=\"number\" oninput=\"calculatePercentChange()\" \/>\n         <\/div>\n<div>\n            <label for=\"finalInput\">Final Value<\/label><br \/>\n            <input id=\"finalInput\" type=\"number\" oninput=\"calculatePercentChange()\" \/>\n         <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<p style=\"text-align: center; margin-bottom: 3em; font-size: 80%;\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shrb33jgGwb66DWHC?prefill_Test=Percentage%20Change%20Calculator&#038;prefill_Question+Number=0&#038;prefill_Which+Form=Calculator-Feedback&#038;prefill_UP-ID=Calculator-Feedback%20-%20Percentage%20Change%20Calculator%20-%200&#038;hide_Test=true&#038;hide_Which+Form=true&#038;hide_UP-ID=true&#038;hide_Question+Number=true\" target=\"_blank\" rel=\"noopener\">Let us know!<\/a><\/p>\n<p>Take a look at these examples to see how percent change is calculated.<\/p>\n<h2><span id=\"Calculating_Percent_Increase\" class=\"m-toc-anchor\"><\/span>Calculating Percent Increase<\/h2>\n<h3><span id=\"Example_1_1\" class=\"m-toc-anchor\"><\/span>Example #1<\/h3>\n<div class=\"bulb-callout\"><span class=\"bulb-callout-icon\">\ud83d\udca1<\/span><span class=\"bulb-callout-text\">A price increases from $50 to $60. What is the percent increase?<\/span><\/div>\n<p>The formula for percent increase is:<\/p>\n<p style=\"text-align: center;\">\\(\\dfrac{\\text{new value}-\\text{original value}}{\\text{original value}}\\)<\/p>\n<p>To start, lets determine how much the value has increased by subtracting the original value from the new value.<\/p>\n<p style=\"text-align: center;\">\\(60-50=10\\)<\/p>\n<p>Then, we divide the increase by the original value, which gives us the increase as a decimal.<\/p>\n<p style=\"text-align: center;\">\\(10\\div 50=0.2\\)<\/p>\n<p>Finally, convert the decimal to a percentage by multiplying by 100.<\/p>\n<p style=\"text-align: center;\">\\(0.2 \\times 100 = 20\\)<\/p>\n<p>Therefore, the price increased by 20%!<\/p>\n<hr>\n<h3 style=\"margin-top: 1.5em;\"><span id=\"Example_2\" class=\"m-toc-anchor\"><\/span>Example #2<\/h3>\n<div class=\"bulb-callout\"><span class=\"bulb-callout-icon\">\ud83d\udca1<\/span><span class=\"bulb-callout-text\">A student&#8217;s test score improved from 80 to 95.5. What was the percent increase?<\/span><\/div>\n<p>The formula for percent increase is the same, even when working with decimals:<\/p>\n<p style=\"text-align: center;\">\\(\\dfrac{\\text{new value}-\\text{original value}}{\\text{original value}}\\)<\/p>\n<p>First, we need to find the amount of increase by subtracting the original value from the new value.<\/p>\n<p style=\"text-align: center;\">\\(95.5-80=15.5\\)<\/p>\n<p>Then, we need to divide the increase by the original value.<\/p>\n<p style=\"text-align: center;\">\\(15.5 \\div 80 = 0.19375\\)<\/p>\n<p>Finally, we can convert the decimal to a percentage:<\/p>\n<p style=\"text-align: center;\">\\(0.19375 \\times 100 = 19.375\\)<\/p>\n<p>Therefore, the score increased by 19.375%!<\/p>\n<h2 style=\"margin-top: 2em\"><span id=\"Calculating_Percent_Decrease\" class=\"m-toc-anchor\"><\/span>Calculating Percent Decrease<\/h2>\n<h3><span id=\"Example_1_1\" class=\"m-toc-anchor\"><\/span>Example #1<\/h3>\n<div class=\"bulb-callout\"><span class=\"bulb-callout-icon\">\ud83d\udca1<\/span><span class=\"bulb-callout-text\">A price is reduced from $40 to $30. What is the percent decrease?<\/span><\/div>\n<p>The formula for percent decrease is:<\/p>\n<p style=\"text-align: center;\">\\(\\dfrac{\\text{original value}-\\text{new value}}{\\text{original value}}\\)<\/p>\n<p>To start, we need to find how much the value has decreased by subtracting the new value from the original value.<\/p>\n<p style=\"text-align: center;\">\\(40-30=10\\)<\/p>\n<p>Then, we need to divide the decrease by the original value.<\/p>\n<p style=\"text-align: center;\">\\(10\\div 40=0.25\\)<\/p>\n<p>Finally, we can convert the decimal to a percentage.<\/p>\n<p style=\"text-align: center;\">\\(0.25 \\times 100 = 25\\)<\/p>\n<p>Therefore, the price decrease by 25%!<\/p>\n<hr>\n<h3 style=\"margin-top: 1.5em;\"><span id=\"Example_2_1\" class=\"m-toc-anchor\"><\/span>Example #2<\/h3>\n<div class=\"bulb-callout\"><span class=\"bulb-callout-icon\">\ud83d\udca1<\/span><span class=\"bulb-callout-text\">A car&#8217;s value depreciated from $16,500 to $15,900. What was the percent decrease?<\/span><\/div>\n<p>The formula for percent decrease is:<\/p>\n<p style=\"text-align: center;\">\\(\\dfrac{\\text{original value}-\\text{new value}}{\\text{original value}}\\)<\/p>\n<p>To start, we need to find how much the value has decreased by subtracting the new value from the original value.<\/p>\n<p style=\"text-align: center;\">\\(16,500-15,900=600\\)<\/p>\n<p>Then, we need to divide the decrease by the original value.<\/p>\n<p style=\"text-align: center;\">\\(600\\div 16,500\\approx 0.03636\\)<\/p>\n<p>Finally, we can convert the decimal to a percentage.<\/p>\n<p style=\"text-align: center;\">\\(0.03636 \\times 100 \\approx 3.64\\)<\/p>\n<p>Therefore, the price decrease by approximately 3.64%!<br \/>\n&nbsp;<\/p>\n<div class=\"home-buttons2\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/percent-change\/\">Learn More About Percent Change Here!<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Use this calculator to help you with problems involving percentage increase and decrease. Initial Value Final Value Found a bug? Let us know! Take a look at these examples to see how percent change is calculated. Calculating Percent Increase Example #1 \ud83d\udca1A price increases from $50 to $60. What is the percent increase? The formula &#8230; <a title=\"Percentage Change Calculator\" class=\"read-more\" href=\"https:\/\/www.mometrix.com\/academy\/percentage-change-calculator\/\" aria-label=\"Read more about Percentage Change Calculator\">Read more<\/a><\/p>\n","protected":false},"author":79,"featured_media":266641,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-254674","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_type-calculator"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/254674","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\/79"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=254674"}],"version-history":[{"count":5,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/254674\/revisions"}],"predecessor-version":[{"id":292232,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/254674\/revisions\/292232"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/266641"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=254674"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}