A percentage is a quantity expressed as a fraction by dividing it by 100. This term has been used in different fields of study. In economics, the percentage is used to express the amount of a certain product or service that represents a proportion of the whole. In politics and geography, the percentage is used to express the amount of a particular part of a whole.

The percentage is a very simple concept. It is the ratio or proportion of a part to the whole. It is also referred to as a fraction with a denominator of 100. The symbol used to express the percentage is %.

In this article, we are going to discuss the percentage formula as well as the properties of percentage.

## What Do Percentage Increase and Percentage Decrease Mean?

The percentage rise is defined as an increase in the proportion of data over time. For example, population expansion, a rise in the number of microorganisms on a particular surface, and so on. Similarly, the percentage decline may be described as the reduction in the proportion of data over time. Here are a few instances of percentage decreases: a drop in criminal activity, a decline in the number of fatalities as a function of age.

## Percentage Formula

The percentage formula is quite simple –

Percentage Formula = Given value/ Total value *100

## Solved Examples

Example 1: In Riya’s class the number of boys in the class is 30 whereas the number of girls in the class is 70. Find the percentage of the number of boys & girls in Riya’s class.

Solution: Let’s note down the information given in the question,

Number of boys in class = 30 boys

Number of girls in class = 70 girls

The first thing we need to do is to add the number of girls and boys.

Therefore, the sum of the number of girls & number of boys is equal to 70+30 = 100

To find the percentage of boys in the class will be equal to 30*100/100 = 30%

In the same way, we can find the percentage of girls in the class will be equal to 70*100/100 = 70%

Therefore, now we have the % of boys as well as girls in the class, the answer is 30% and 70%.

Example 2: Suresh purchased 30 books and only read four of them. Determine the percentage of books that were not read by him.

Solution: The entire number of books purchased by Suresh is 30 books

Number of unread books = 30 – 4  equal 26

Percentage required is equal to (26 / 30) 100 = 86.66%

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