UtilityBaseCalculators
Percentage of a Percentage Calculator
Find a percentage of a percentage — like what is 15% of 20% — with the formula shown.
Updated July 10, 2026
How to use the percentage of a percentage calculator
- 1Enter the first percentage.
- 2Enter the second percentage.
- 3Read the result as a percentage and a decimal.
- 4Check the shown formula to follow the math.
Common uses
- Stacking a discount on top of a discount
- A commission on top of a referral fee
- Survey results within a subgroup
- Homework on nested percentages
Frequently asked questions
How do you find a percentage of a percentage?
Multiply them. Convert each percentage to a decimal, multiply the decimals, then convert back to a percentage. For 15% of 20%: 0.15 times 0.20 equals 0.03, which is 3%. A shortcut is to multiply the two numbers and divide by 100 — 15 times 20 divided by 100 is 3.
Why is the answer smaller than both numbers?
Because taking a percentage of something under 100% always shrinks it. 20% is one-fifth, and 15% of that fifth is only 3% of the whole. Any time both percentages are below 100%, the result is smaller than either one — a common source of confusion.
Is this the same as adding two percentages?
No. Adding, like a 15% raise then a 20% raise, compounds differently (multiply by 1.15 then 1.20). This tool finds one percentage of another — 15% of the quantity 20% — which is multiplication of the two percentages, not addition or compounding.
About this tool
The percentage of a percentage calculator answers questions like 'what is 15% of 20%?' by multiplying the two together. It converts each percentage to a decimal, multiplies, and converts back — 15% of 20% is 0.15 times 0.20, which is 0.03, or 3%. It shows the result as a percentage and a decimal with the full working. This comes up with stacked discounts, a commission on a fee, or survey results within a subgroup, and because both values are under 100% the answer is always smaller than either. Everything is calculated in your browser.
Like most tools on UtilityBase, the percentage of a percentage calculator runs entirely in your browser — nothing you enter is uploaded or stored on a server. It's free to use with no account required. Browse more calculators here.
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