Percentage of a Percentage Calculator
Calculate nested percentages and compound percentage calculations. Perfect for discount chains, tax calculations, and layered percentage scenarios.
Calculate Percentage of Percentage
Enter a base value to calculate the actual amount
Result as Percentage
Formula
Where:
- P₁ = First percentage
- P₂ = Second percentage
- Result = Percentage of percentage
Examples
Double Discount:
20% off, then 10% off the sale price = 20% of 80% = 16% total discount
Simple Example:
50% of 50% = 25%
Common Percentage of Percentage Calculations
Real-World Applications
Compound Discounts
Calculate total savings when multiple discounts are applied sequentially (20% off, then 10% off sale price).
Commission Structures
Calculate nested commission rates where one percentage is applied to another percentage.
Tax Calculations
Determine effective tax rates when multiple percentage-based taxes are applied.
Performance Metrics
Calculate compound efficiency rates or layered performance bonuses.
Frequently Asked Questions
To calculate a percentage of a percentage: (1) Convert both percentages to decimals by dividing by 100, (2) Multiply the decimals together, (3) Convert back to percentage by multiplying by 100. For example: 25% of 80% = 0.25 × 0.80 = 0.20 = 20%.
Tips
- Enter the dimensions in the same unit for consistency.
- Results update automatically as you type.
- Use the unit selector to convert between different measurement systems.