Understanding percentages is crucial in everyday life, from managing finances to interpreting data. The percentage formula transforms fractions and decimals into easily comparable numbers, making it simpler to grasp proportions and changes. At its core, the percentage formula is expressed as:

This formula allows you to calculate what fraction of a whole a part represents, by converting it into a percentage. Whether you’re calculating discounts, interest rates, or statistical data, mastering this formula can provide clarity and precision in a wide array of applications. Dive into the world of percentages and discover how this fundamental formula can make complex calculations straightforward and intuitive.

## Examples Of Percentage Calculations:

Here are some simple examples of percentage calculations:

### 1.Finding a Percentage of a Number:

Problem: What is 20% of 150?

Result: 20% of 150 is 30.

### 2. Finding the Percentage of a Total:

Problem: If you scored 45 out of 60 on a test, what percentage did you score?

Result: You scored 75% on the test.

### 3. Calculating a Percentage Increase:

Problem: If a price increases from $50 to $60, what is the percentage increase?

Result: The price increased by 20%.

### 4. Calculating a Percentage Decrease:

Problem: If a salary decreases from $80,000 to $72,000, what is the percentage decrease?

Result: The salary decreased by 10%.

## Solved Example Questions Using the Formula for Percentage:

Question 1: Express ā
as a percentage.

Solution:

ā
= (4 × 20 ⁄ 5 × 20)

= (80 ⁄ 100)

= 80%

Question 2: There are 150 students in a class. Out of them, 75 are girls. Find the percentage of girls in the class.

Solution:

Total number of students in the class = 150

Girls in the class = 75

% of girls in the class = (75 ⁄ 150) × 100 = (7500 ⁄ 150) = 50%