Calculate a percentage of a percentage, showing the combined result as both a percent and decimal with step-by-step work.
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Result
20% of 50% is 10%
Step-by-step
Convert each percentage to a decimal: 50% = 0.5, 20% = 0.2
Multiply the decimals: 0.5 × 0.2 = 0.1
Convert back to a percentage: 0.1 × 100 = 10%
So 20% of 50% = 10%
Also in Percentages
Arithmetic
A percent of a percent calculator finds the result of applying one percentage to another. For example, 20% of 50% equals 10%. This is useful for stacked discounts, compound probabilities, and layered commission structures.
Multiply the two percentages together and divide by 100. The formula is: result = (percent₁ × percent₂) / 100. For example, 20% of 50% = (20 × 50) / 100 = 10%.
The operation is commutative — 20% of 50% gives the same result as 50% of 20%.
result% = (p₁ × p₂) / 100
Percent of a percent formula.
Frequently asked questions
Common uses include stacked discounts (e.g. 20% off then an additional 10% off), compound probabilities (e.g. 80% chance × 90% chance), and multi-level commission rates.
Yes — multiplication is commutative, so the order does not matter. Both give 10%.
Related
These related calculators come from the same leaf category, nearby sibling categories, or the same top-level topic.
Find percentages, percentage change, increase, decrease, and part-to-whole values with a quick online percentage calculator.
Calculate the percentage increase or decrease between an old value and a new value, with the formula shown.
Convert a percentage to its decimal equivalent, showing the fraction form and step-by-step division by 100.
Find what a given percentage of any number is, or work backwards to find what percent one number is of another.
