How to use this percentage of a percentage calculator
- Enter the 1st percentage and 2nd percentage.
- Click Calculate to see the cumulative percentage — the effective combined rate.
- Expand Percentage of a value to apply those rates to an original number and see each step.
- Use Save to download your inputs and results as a text file.
Example: 12% of 12% is 1.44%, not 24%. Applied to 200, the value after the first rate is 24, and the final value after the second rate is 2.88.
What is a percentage of a percentage?
When one percentage applies to another, you multiply their decimal forms — you do not add the two rates. “10% of 50%” means take 10% of the 50% portion, which equals 5% of the whole, not 60%. This shows up in stacked retail discounts, tax on fees, portfolio returns, and survey sampling.
For general percent-of-number problems, use our Percentage Calculator. For sale prices after a single markdown, try the Percent Off Calculator.
Cumulative percentage formula
Cumulative percentage when one rate applies to another
Convert each rate to a decimal, multiply, then multiply by 100 to express the result as a percentage again.
Applying percentages to a value
Final value after applying both percentages in sequence
The calculator shows the intermediate amount after the first percentage and the final amount after the second.
Examples and use cases
Worked example
A jacket is 30% off, and you have an extra 10% off coupon on the sale price (not the original tag). The cumulative discount is 30% × 10% = 3% of the original price — not 40%. On a $80 list price, you save $2.40 from the coupon stack on top of the main sale math.
Real-world use cases
- Retail stacking: Verify whether two promotions combine as a product of rates before updating shelf signage.
- Finance: Estimate how a 2% management fee on a 8% gross return affects net performance.
- Statistics: Find what fraction of a population falls into two sequential filters (e.g. 40% of the 25% subgroup).
- Grades & scores: Model weighted steps where each percentage applies to the previous result, not the total.
Step-by-step percentage basics: How to Calculate Percentage.