Percentage of a Percentage Calculator
Calculate a percentage of another percentage
The percentage you want to take
The base percentage
How to Use This Calculator
Enter First Percentage
Type the percentage you want to take (e.g., 20 for 20%).
Enter Second Percentage
Type the base percentage (e.g., 50 for 50%).
View Result
See what percentage of a percentage equals.
Formula
Result = (Percentage 1 / 100) × Percentage 2
Example 1: 20% of 50%
Result = (20 / 100) × 50
Result = 0.20 × 50
Result = 10%
20% of 50% equals 10%
Example 2: 15% additional discount on 30% sale
Additional discount = (15 / 100) × 30
Additional discount = 0.15 × 30
Additional discount = 4.5%
Total discount = 30% + 4.5% = 34.5%
Example 3: 10% tax on 25% service charge
Tax on service = (10 / 100) × 25
Tax on service = 0.10 × 25
Tax on service = 2.5%
Tax applies to 2.5% of the bill
About Percentage of a Percentage Calculator
The Percentage of a Percentage Calculator helps you find what percentage results when you take a percentage of another percentage. This calculation is common in situations involving multiple discounts, compound taxes, commission structures, and layered percentage calculations.
When to Use This Calculator
- Multiple Discounts: Calculate total savings with stacked discounts
- Tax on Tax: Compute taxes applied to other taxes or fees
- Commission Structures: Calculate split commissions or sub-agent percentages
- Sales & Marketing: Determine conversion rates of conversion rates
- Financial Planning: Calculate percentage returns on percentage gains
- Statistics: Find percentages within percentage categories
Why Use Our Calculator?
- ✅ Instant Results: Get the answer immediately
- ✅ Clear Display: Shows both percentage and decimal forms
- ✅ Easy to Use: Simple, intuitive interface
- ✅ 100% Accurate: Precise mathematical calculations
- ✅ Completely Free: No registration required
- ✅ Mobile Friendly: Works on all devices
Understanding Percentage of a Percentage
When calculating a percentage of a percentage, you're essentially multiplying two fractions. The result is always smaller than the second percentage (unless the first percentage is greater than 100%).
- 50% of 50% = 25% (half of half = quarter)
- 25% of 80% = 20% (quarter of 80)
- 10% of 30% = 3% (tenth of 30)
- 100% of any percentage = that same percentage
Real-World Applications
Shopping: A store offers 30% off, plus an additional 20% employee discount. The additional discount is 20% of 30% = 6%. Total discount: 30% + 6% = 36% off.
Real Estate: An agent gets 6% commission, and splits 50% with a buyer's agent. The buyer's agent receives 50% of 6% = 3% commission.
Taxes: A bill has a 15% service charge, and 8% tax applies to both the bill and the service charge. Tax on service = 8% of 15% = 1.2% of original bill.
Important Notes
- This is different from adding percentages together
- Two 50% discounts don't equal 100% off!
- The order matters: 20% of 50% ≠ 50% of 20% in some contexts
- For stacked discounts, each applies to the already-reduced price
- Always convert to decimal form (divide by 100) before multiplying
Frequently Asked Questions
Is 50% off plus 50% off the same as 100% off?
No! 50% off, then another 50% off the reduced price, equals 75% total discount (not 100%). The second 50% applies to the already-discounted price.
How is this different from adding percentages?
Adding percentages (30% + 20% = 50%) is different from percentage of a percentage (20% of 30% = 6%). Use this calculator when one percentage applies to another, not when combining independent percentages.
Can the result be larger than the second percentage?
Yes, if the first percentage is greater than 100%. For example, 150% of 50% = 75%.
Does order matter?
Mathematically, 20% of 50% equals 50% of 20% (both = 10%). However, in real-world scenarios, the context determines which percentage is the base and which is the multiplier.
How do I calculate three or more layered percentages?
Calculate step by step: first find percentage 1 of percentage 2, then take percentage 3 of that result, and so on.