# Percentage Formula

The percentage formula helps in calculating the share of something in terms of 100. The percentage can be defined as a fraction or a ratio in which the value of the whole is always 100. The symbol used to represent percentage is %, called the percent symbol. Let us understand the percentage formula using solved examples.

## What Is Percentage Formula?

To calculate percentage means to find the proportion or share in relation to a whole. The two ways to find a percentage are given below:

- By using the unitary method.
- By changing the denominator of the fraction to 100.

**Note:** The second method to calculate percentage can not be used in situations where the denominator is not a factor of 100. For cases like this, we use the unitary method.

### Percentage Formula

The percentage formula is given as **Percentage = (Value ⁄ Total Value) × 100 **

where 'value' refers to any given value out of total value.

## Applications of Percentage Formula

Given below are a few applications of the percentage formula:

- comparison of prices, grades, etc.
- solving problems related to profit and loss and discount
- calculating simple interest, compound interest, rate of growth, depreciation, etc.
- phone's or laptop's battery percentage.
- nutrients percentage on a food packet.
- composition of gases in the atmosphere such as oxygen, carbon dioxide, nitrogen, etc in air.

Let's take a quick look at a couple of examples to understand the percentage formula, better.

## Examples Using Percentage Formula

**Example 1: **Express 3/5 as a percentage.

**Solution:**

To find: Percentage equivalent for fraction 3/5..

Using the percentage formula,

Percentage = (Value ⁄ Total Value) × 100

Percentage = (3/5) × 100 = 60%

**Answer: 3/5 can be written as 60%. **

**Example 2: **There are 180 students in a class. Out of which, 60 are girls. Calculate the percentage of girls in the class.

**Solution:**

To find: Percentage of girls in a class

Using the percentage formula,

Percentage = (Value ⁄ Total Value) × 100

= (60/80) × 100 = 33.33%

**Answer: The percentage of girls in the class = 33.33%.****Example 3: **Ron scored 35 out of 50 on the Math tests. Express the marks he got in percentage.

**Solution:**

To find: Percentage of marks scored: 35 out of 50

Using the percentage formula,

Percentage = (Value ⁄ Total Value) × 100

Percentage = (35/50) × 100 = 70%

**Answer: Ron scored 70% on math tests.**

## FAQs on Percentage Formula

### What is Percentage Formula in Math?

Percentage Formula is defined as the formula to calculate the percentage of a given value to the total value or its simply the number represented as a fraction of 100, together with a percent symbol. To determine the percentage, just divide the value by the total value, then multiply the resultant to 100.

### Can Percentage Formula Give Value More Than 100?

Yes, the percentage formula can give a value more than 100 in case the percentage can be more than 100 when we have a value that is larger than the total value.

### What are the Applications of Percentage Formula?

There are numerous applications of percentage formula in everyday life:

- for comparison, fraction, and change between two values
- solving problems of profit and loss, discount, simple interest, compound interest, rate of growth, depreciation etc.
- percentage of nutrients in a food item.

### How Is Percentage Formula Applied For the Given values?

Follow the steps given below to apply percentage formula

- Step 1: Identify the given value.
- Step 2: Identify the total value or whole.
- Step 3: Divide the number by whole.
- Step 4: Multiply by 100.
- Step 5: Add the percentage sign with the resultant value.