Percentages of percentages appear in statistics, taxes and surveys, for example 60% of the 30% of people who answered.
How to use the Percentage of a Percentage Calculator
- First percentage
- Second percentage
- Apply to number
Results update as you type, and every field accepts the units shown in its menu.
How it works
Convert each percentage to a decimal, multiply them, and convert back to a percentage.
Inputs explained
| Field | What to enter |
|---|---|
| First percentage | In % |
| Second percentage | In % |
| Apply to number | A number |
What each result means
- Combined percentage = [First percentage] × [Second percentage] ÷ 100
- Result on the number = [Apply to number] × [Combined percentage] ÷ 100
Example values
How the main result changes when First percentage changes and everything else stays at the example values above:
| First percentage (%) | Combined percentage (%) |
|---|---|
| 20 | 5 |
| 30 | 7.5 |
| 40 | 10 |
| 50 | 12.5 |
| 60 | 15 |
| 80 | 20 |
Formula
Combined % = (p₁ ÷ 100) × (p₂ ÷ 100) × 100Worked example
Inputs — First percentage: 40 %; Second percentage: 25 %; Apply to number: 1,200.
Results — Combined percentage = 10 %; Result on the number = 120.
Frequently asked questions
Is 40% of 25% the same as 25% of 40%?
Yes, multiplication order does not matter: both are 10%.
How is this different from adding percentages?
Adding gives 65%; taking a percentage of a percentage multiplies them.
What formula does the Percentage of a Percentage Calculator use?
Combined % = (p₁ ÷ 100) × (p₂ ÷ 100) × 100.