Percent of a Percent Calculator

Unravel nested percentages effortlessly! Input your percentages below to calculate the percent of a percent.

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Calculation Result:

Understanding Percent of a Percent

The "percent of a percent" concept is often used to calculate successive discounts or increases. It's not simply adding or multiplying percentages directly. Instead, you're finding a percentage of another percentage.

For example, if an item is 20% off, and then there's an additional 50% off the discounted price, you're not getting 70% off the original price. Instead, you calculate 50% of the remaining 80% (after the first 20% discount).

Formula

To calculate "Percent 1% of Percent 2%", you use the formula:

Result % = (Percent 1 / 100) * (Percent 2 / 100) * 100

Example

Let's calculate 20% of 50%:

  • Convert 20% to decimal: 20 / 100 = 0.20
  • Convert 50% to decimal: 50 / 100 = 0.50
  • Multiply the decimals: 0.20 * 0.50 = 0.10
  • Convert the result back to percentage: 0.10 * 100 = 10%

So, 20% of 50% is 10%. This tool simplifies this calculation for you!