Percent of a Percent Calculator
Find the percentage of a percentage by entering them below. This is useful to find a compound percentage of a value.
Steps to Solve
How to Find the Percentage of a Percentage
Sometimes you need to find the percentage of a percentage, which might seem confusing. You can find the percent of a percent by converting both to decimal form, then multiplying them together.
Start by dividing each percentage by 100 to convert them to a decimal form. Then multiply the decimals together to get the result. Multiply the result by 100 to convert the decimal back to a percentage.
Percent of a Percent Formula
To find a percentage of a percentage, use the following formula:
p = pct1 / 100 × pct2 / 100 × 100
Thus the percentage of a percentage p is equal to the first percentage divided by 100 times the second percentage divided by 100, times 100.
Example: Find 25% of 80%
p = (pct1 ÷ 100) × (pct2 ÷ 100) × 100
p = (25 ÷ 100) × (80 ÷ 100) × 100
p = .25 × .8 × 100
p = .2 × 100
p = 20%