Percentage of a Percentage Calculator

Find what X% of Y% equals — useful for nested commissions, taxes on discounts, conditional probabilities, and layered rates.

What is X% of Y%?

X (%)

Y (%)

Result (%)

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FAQ

How do I calculate a percentage of a percentage? ›

Convert both percentages to decimals, multiply, then convert back. Formula: (X ÷ 100) × (Y ÷ 100) × 100 = X × Y ÷ 100. Example: 20% of 50% = (0.20 × 0.50) × 100 = 10%.

When is a percentage of a percentage useful? ›

Common uses include: a 5% commission on a 30% discount (5% of 30% = 1.5%); a 10% chance within a 40% probability group (10% of 40% = 4% overall chance); a 6% tax on an amount that's 80% of a total. Any time two percentage rates are applied in sequence to the same base.

Is 10% of 50% the same as 50% of 10%? ›

Yes — multiplication is commutative. 10% of 50% = 50% of 10% = 5%. Both equal (10 × 50) ÷ 100 = 5%.

About this calculator

A percentage of a percentage arises whenever two rates are combined. For instance, if an item is 40% off and you get an additional 25% off that price, the combined discount is not 65% — it's 40% + 25% of 60% = 55% off the original. This calculator handles the core case of finding X% of Y% expressed as a final percentage.