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Volume Calculators

Calculate volume for various 3D shapes

Finance Calculators

Mortgage, loan, and investment tools

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Cube Volume
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Volume Calculators15+Financial Tools25+Converters8+
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VolumeCalculator.Co - Free online calculator tool for finding the volume of various 3D shapes with step-by-step solutions and comprehensive unit conversion.

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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

%
of
%

Enter a base value to calculate the actual amount

Result as Percentage

—

Formula

Result = (P₁ ÷ 100) × (P₂ ÷ 100) × 100

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

50% of 50%
= 25%
25% of 80%
= 20%
30% of 60%
= 18%
20% of 75%
= 15%
40% of 50%
= 20%
10% of 90%
= 9%
75% of 40%
= 30%
60% of 25%
= 15%

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%.

Related Calculators

  • Percentage Calculator
  • Percentage Point Calculator
  • Percentage Change Calculator

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.