Use these calculators to help you with problems involving percentages.
Take a look at these examples to see how each calculation works.
Finding the Part
This type of problem asks for a specific percentage of a total amount.
The first step is to convert the percentage to a decimal, which we can do by dividing the percentage by 100:
\(40\% = 40 \div 100 = 0.40\)
Then, all we have to do is multiply our decimal by the total number:
\(0.40 \times 250 = 100\)
Therefore, 40% of 250 is 100!
Finding the Whole
This problem provides the part and the percentage, leaving you to find the total amount.
In this case, the percentage is over 100, which means the “part” (17) is actually larger than the whole we’re looking for.
The first step is to convert the percentage to a decimal by dividing the percentage by 100:
\(149\% = 149 \div 100 = 1.49\)
Let’s say the whole we’re trying to find is \(x\). We can set up this equation:
\(17=1.49\times x\)
To solve for \(x\), divide the part by the decimal:
\(x=17\div 1.49\)
\(17\div 1.49=11.41\)
So, 17 is 149% of 11.41!
Finding the Percent
In this case, similar to the previous problem, the “part” (90) is larger than the whole, so our answer will be larger than 100%.
The first step is to divide the part by the whole, giving us a decimal that represents the relationship between two numbers:
\(90 \div 75 =1.2\)
Then, all we have to do is convert the decimal to a percentage by multiplying by 100 and adding a percent sign:
\(1.2\times 100=120\%\)
So, 90 is 120% of 75!
