Percentage of a Percentage Calculator Online

This percentage of a percentage calculator helps you quickly find the compound effect of two percentages and optionally apply it to a real number. Useful for calculating nested discounts, commissions on partial amounts, tax layers, investment returns on portions, budget breakdowns, and other scenarios where one percentage acts upon another.

Percentage of a Percentage Calculator

Enter two percentages to find their combined effect. Optionally apply it to a base value.

Percentage 1 (%)

Percentage 2 (%)

Base Value (optional)

Result (Percentage of Percentage)

Result (Applied to Base Value)

Calculation process will appear here, including how the result was calculated step-by-step.

Decimal Places

How to Use

Enter the first percentage value in the “Percentage 1” field.
Enter the second percentage value in the “Percentage 2” field.
Optionally, input a base value to calculate the resulting amount.
Adjust decimal precision using the “Decimal Places” selector.
Click “Calculate” to view the result. You can copy the result using the copy button.
Use “Clear All” to reset all inputs and outputs.

Definitions

Percentage (%): A way to express a number as a fraction of 100. For example, 25% means 25 out of 100.

Base Value: The number to which the final percentage is applied. If omitted, only the calculated percentage is shown.

Formula

To find the percentage of a percentage:

Final % = (A × B) ÷ 100

To apply this to a base value:

Result = (Final % × Base) ÷ 100

Source: Mathisfun.

Real World Applications

Finding commission on a discounted sale: 10% of 80% discount = 8% effective discount.
Compound interest reduction: 5% reduction on 30% tax = 1.5% effective impact.
Stacked promotions: 20% of 15% off = 3% extra savings.
Budget allocation: 25% of marketing budget allocated to 10% digital = 2.5% total budget to digital.
Nested probability: 70% success rate inside a 90% scenario = 63% chance.
Policy rebate: 5% cash rebate on a 40% insured amount = 2% effective rebate.
Time management: 15% of 20% of total hours = 3% of total time.
Risk calculation: 60% of 10% risk window = 6% effective risk.
Compound approval chains: 80% pass rate on 50% chance = 40% overall pass rate.
Project planning: 30% of 50% subtask = 15% of total plan.

Conversion Table

Percentage 1	Percentage 2	Final Percentage
10%	50%	5%
25%	40%	10%
60%	20%	12%
75%	80%	60%
12.50%	16%	2%
90%	90%	81%
33.33%	25%	8.33%
2%	2%	0.04%
50%	10%	5%
100%	30%	30%
5%	60%	3%
75%	25%	18.75%
12%	15%	1.80%
90%	5%	4.50%
50%	50%	25%
80%	10%	8%
65%	35%	22.75%
48%	48%	23.04%
33%	33%	10.89%
20%	20%	4%