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