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Q.

How Did Find Percentage?

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Detailed Solution

Percentage is a way to express a number as a part of 100. It helps you easily compare values, calculate discounts, marks, profits, and many more things in daily life.

In this guide, you will learn how to calculate percentage in easy steps with examples.

What is Percentage?

The word percentage means "per hundred." It is written using the symbol %.
For example:

  • 50% means 50 out of 100.
  • 25% means 25 out of 100.

Basic Formula to Calculate Percentage

The simple formula to find percentage is:

Percentage (%) = (Part / Total) × 100

Where:

  • Part = the portion or value you are looking at.
  • <Total = the whole or maximum value.

Step-by-Step: How to Calculate Percentage

Example 1: Basic Percentage

Question: You scored 80 marks out of 100 in a test. What is your percentage?

Solution:

  • Part = 80
  • Total = 100

Now apply the formula:

Percentage = (80 / 100) × 100 = 80%

So, your score is 80%.

Example 2: When Total is Not 100

Question: You scored 45 marks out of 60. What is your percentage?

Solution:

  • Part = 45
  • Total = 60

Formula:

Percentage = (45 / 60) × 100 = 75%

Your score is 75%.

Quick Trick to Find Percentage

  • Divide the part by the total.
  • Multiply the result by 100.
  • The answer is your percentage.

Use of Percentage in Daily Life

  • Marks and Exams: To check your score.
  • Shopping Discounts: To calculate price reductions.
  • Bank Interest: To know how much interest you earn.
  • Profit and Loss: To calculate business earnings.

How to Convert Percentage into Number

If you want to find the value from a given percentage, use this formula:

Value = (Percentage × Total) / 100

Example:
You got 60% of 500 marks.

Value = (60 × 500) / 100 = 300

So, you scored 300 marks.

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How Did Find Percentage?