# 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.

## Result:

**15%**

### 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 = pct_{1} / 100 × pct_{2} / 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 = (pct_{1} ÷ 100) × (pct_{2} ÷ 100) × 100

p = (25 ÷ 100) × (80 ÷ 100) × 100

p = .25 × .8 × 100

p = .2 × 100

p = 20%