Math

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Percentage of a Percentage Calculator.

Calculate one percentage applied to another percentage.

On-device calculationNo signup
01

Set your values

Results update as you type.

resultPercent: 3 %

resultPercent

0.000000%
decimal: 0.03

decimal

0.000000

Results update automatically as you type.

Use Cases

Calculate successive discounts

When a store offers an additional percentage off an already discounted price, use this to find the total discount percentage.

Example: A 20% off sale plus an extra 10% off means you pay 20% of 10% = 2% less, so total discount is 22%.

Understand tax on tax or tip on tip

In some scenarios, a percentage is applied to another percentage, like a service charge on a discounted bill. This calculator helps you compute the effective rate.

Example: A 5% service charge on a 10% discount results in 0.5% additional charge.

Frequently Asked Questions

How do I calculate a percentage of a percentage?
Multiply the two percentages together and divide by 100. For example, 50% of 20% is (50 × 20) / 100 = 10%. This calculator does that for you.
What does 'percentage of a percentage' mean?
It means taking a certain percentage of another percentage. For instance, if you have a 20% discount and then an additional 50% off that discount, you're finding 50% of 20%, which is 10%.
Can I use this calculator for compound percentages?
Yes, this calculator helps you find the combined effect of two sequential percentage changes. For example, a 10% increase followed by a 20% increase is not 30% but 10% of 20% added to the original, which this tool can help you understand.

Tips & Common Mistakes

Tips

  • Enter percentages as numbers without the % sign; the calculator handles the conversion.
  • The result is a percentage, so if you get 10, it means 10%.
  • Use this to quickly compare the impact of multiple percentage changes in business or finance.
  • Remember that the order of multiplication doesn't matter: 50% of 20% equals 20% of 50%.

Common Mistakes to Avoid

  • Forgetting to divide by 100 when doing the calculation manually; the calculator does it for you.
  • Confusing 'percentage of a percentage' with adding percentages; they are different operations.
  • Entering percentages as decimals (e.g., 0.5 instead of 50) which will give incorrect results.

Last updated: August 13, 2026