Percentage Of A Percentage Calculator
Calculate the effective percentage when taking a percentage of a percentage. Useful for compound discounts, tax on tax, or sequential percentage problems.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the Percentage of a Percentage Calculator
This calculator finds the effective percentage when you take a percentage of another percentage, and optionally applies it to a base value.
- Enter the First Percentage (e.g., 20). This is the percentage you want to take from the second percentage.
- Enter the Second Percentage (e.g., 15). This is the percentage you are taking a portion of.
- Optional: Enter a Base Value (e.g., 200). If provided, the calculator will also show the final numeric result after applying the effective percentage to this base.
- Click "Calculate" to see the result.
The result shows the effective percentage (e.g., 3.00%) and, if a base value was entered, the final value (e.g., 6.00). A formula breakdown explains the math step-by-step.
Note: All percentages must be between 0 and 100. The base value must be a non-negative number.
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Frequently Asked Questions
It's when you apply one percentage to another, like taking 20% of 15%. The result is a smaller percentage (3% in this case). Useful for compound discounts or layered taxes.
Convert both percentages to decimals (divide by 100), multiply them, then convert back to percentage (multiply by 100). For example, 20% of 15% = 0.20 × 0.15 × 100% = 3%.
The calculator also computes the final amount by multiplying the base by both percentages in decimal form. For example, 20% of 15% of $200 = $200 × 0.20 × 0.15 = $6.
