# Percentage of a percentage calculator

Percentage of a percentage Calculator enables you to multiply % by % and obtain the result. To calculate a percentage of a percentage, divide both percentages by 100 and multiply them by 100.

What will be the result of y% of x%?

## What is a Percentage

A percentage is a ratio expressed as a fraction of 100. The percentage is commonly represented by the percent sign, %, or the abbreviation “pct.” The term “per cent” is derived from the Latin word “per centum,” which means “per hundred.” The percentage is sometimes written as two words in British English: “percentage” (although percentage and percentile are reported as one word).

## How to Find Percentage of a Percentage

Sometimes you have to find the percentage of a percentage, which can be difficult. For example, converting both to decimal form and multiplying them together yields the percent of a percent.

To convert each percentage to decimal form, divide it by 100. The result is obtained by multiplying the decimals together. To convert a decimal to a percentage, multiply the result by 100.

## The formula for the Percentage of a Percentage

Use the following formula to calculate the percentage of a percentage:

Percentage of a percentage = $$(\dfrac{percent 1}{100} × \dfrac{percent 2}{100}) × 100$$

## Examples

Example 1: Find 25% of 60%.

We will start with the formula to calculate a percentage of a percentage which is:

$$P = (\dfrac{percent 1}{100} × \dfrac{percent 2}{100}) × 100$$

Now, substitute the given values in the equation.

$$P = (\dfrac{25}{100} × \dfrac{60}{100}) × 100$$

By simplifying them, we will get the following:

$$P = (0.25 × 0.6) × 100 = 0.15 × 100 = 15$$

$$P = 15\%$$

Example 2: Find 50% of 40%

$$P = (\dfrac{50}{100} × \dfrac{40}{100}) × 100$$

Simplifying,

$$P = (0.50 × 0.40 ) × 100 = 0.20 × 100 = 20$$

$$P = 20\%$$

## FAQs

How to calculate the percentage?

To calculate a percentage of a number, divide the number by the total value and multiply the result by 100.

$$(\dfrac{value}{total value}) 100\%$$ is the formula for calculating the percentage.

How to convert the decimal number 3.25 to a percentage?

To convert 3.25 to a percentage, multiply 3.25 by 100. We will get $$3.25 × 100 = 325\%$$

What Are Some Real-Life Percentage Examples?

The following are some real-world percentage examples:

• Nutrient percentage on a food package.
• The air comprises oxygen, carbon dioxide, nitrogen, and other gases, all measured in %.
• A percentage of your test results.

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