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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