Percentage of Percentage Calculator

Calculate a percentage of another percentage. Perfect for compound percentages, discounts on discounts, and nested percentage calculations.

What is Percentage of Percentage?

Percentage of percentage calculates what one percentage represents of another percentage. This is useful for compound calculations, nested discounts, and situations where you need to apply one percentage to another.

For example, if you have a 20% discount and then an additional 15% off, you're calculating 15% of the 20% discount, which gives you the combined effect.

How to Use the Calculator

  1. Enter first percentage: Input the first percentage value.
  2. Enter second percentage: Input the second percentage value.
  3. Calculate: Click "Calculate" to see what percentage the first is of the second.

Example Calculations

Example 1: Discounts

If you have a 20% discount and then an additional 15% off, 15% of 20% = 3%. This means the second discount is 3% of the original price.

Example 2: Compound Interest

If an investment grows 10% in year 1 and 5% in year 2, calculating 5% of 10% helps understand the compounding effect.

Example 3: Tax Calculations

When calculating tax on a discounted price, you might need to find what percentage one tax rate is of another.

Frequently Asked Questions

How is percentage of percentage calculated?

It's calculated as (First% / 100) × (Second% / 100) × 100. This gives you what percentage the first value represents of the second percentage.

Is this the same as adding percentages?

No, calculating a percentage of a percentage is different from adding them. Adding 20% + 15% = 35%, but 15% of 20% = 3%.

When would I use this?

Use this for compound discounts, understanding nested percentage relationships, calculating commission on commission, or any situation where one percentage applies to another.

Can the result be greater than 100%?

Yes, if the first percentage is larger than the second, the result can exceed 100%. For example, 150% of 50% = 75%.

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