A chained-percentage question — “what is 20% of 50%?” — answered directly, since multiplying two percentages does not simply add them.
How it works
Both percentages are converted to decimals, multiplied together, and converted back to a percentage.
What this does not include
This does not include applying a percentage to a plain number — for that, use this site’s general percentage calculator instead. This tool specifically chains two percentages together.
How to use this calculator
- Enter both percentages.
A worked example
20% of 50% → 0.20 × 0.50 × 100 = 10%.
50% of 50% → 25%.
What the variables mean
| Variable | Meaning |
|---|---|
| Percent 1 | The first percentage |
| Percent 2 | The percentage being taken of the first |
Edge cases worth knowing
Percentages of percentages don’t add — they multiply. A common mistake is assuming “20% of 50%” means 20% + 50% = 70%; it actually means 20% × 50% = 10%, a much smaller number.
This shows up in real discounts and taxes stacked together — a 20% discount applied on top of a 50%-off sale isn’t a 70% total discount, it compounds to a smaller combined reduction.
Frequently asked questions
Why isn’t 20% of 50% equal to 70% or 30%?
Because “of” means multiplication, not addition or subtraction — 20% of 50% asks what fraction of a fraction results, which is a smaller number than either percentage alone.
What’s a practical use for chaining two percentages?
Calculating a discount on an already-discounted price, or finding what portion of a specific subgroup (itself a percentage of a total) something represents.
Can the result ever be larger than either input percentage?
No — multiplying two percentages (each 100% or less) always produces a result equal to or smaller than the smaller of the two inputs.
