Percentage

 Introduction

Have you ever wondered what it really means when you see a sign saying “50% off” at your favorite store, or when your exam result says you scored 80%? That’s the magic of percentages at work!

Percentages pop up everywhere: in shopping, banking, sports, cooking, and even when we talk about how much battery life is left on our phone! Learning about percentage helps you make sense of numbers in everyday life, so you can save money, understand reports, or simply brag about your high scores.

It’s all about knowing how to find parts of a whole, compare things quickly, and make smart decisions. And the best part? Once you understand how percentages work, they’re actually pretty simple and super useful!

Table of Contents

• What is Percentage?
• How to Find Percentage?
• Percent Can Express in Different Forms
• Conversion
• Concept of Whole, Half and Quarter in the Form of Percentage
• How to Find Percentage of a Number?
• Difference between the words ‘Percent’ & ‘Percentage’
• Percentage Formula
• How Can I Change a Percentage to a Numerical Value?
• Comparison between Percentage and Percent
• How Do You Compare Two Quantities Using Fractions and Percentages?
• Conclusion
• FAQs on Percentage

What is a Percentage ?

A percent is a fraction where the denominator is always 100. It shows how much you have in relation to 100 and is written with the sign “%”. The origin of the word is Latin - per centum, meaning “by the hundred.

How to Find Percentage

• • Divide that object into 100 equals parts.
  • Out of these 100 parts, we can easily get the given percentage amount.

          Example: Colour 25% part of the square.

          We can show 25% coloured part of the square as below:

             

          There are total 100 boxes out of which 25 boxes are coloured.

Percent Can Express in Different Forms

1. 1. Fraction
   2. Decimal

Example:

20 percent written as → 20%(In the form of Percent)

• 20% means ‘20 per hundred’. So, 20 out of 100 written as:
  20%= 20/100→ (In the form of Fraction)
• When we convert a fraction into a percentage, the denominator is always expressed as 100. To change a percentage into a decimal, we simply move the decimal point two places to the left (or place it after two digits from the right). For example, 75% becomes 0.75 as a decimal.

Conversion

• Percentage to Fraction Conversion:

                    Divide the percent by 100.

                    Example:

                    Write 44% in the form of fraction.

                    Solution:

                    44% = 44/100

• How to Convert Percent to Decimals?

                    Convert percent to fraction and then decimal

                    Example:

                    Write 74% in the form of decimal.

                    Solution:

                    74% = 74/100 = 0.74

• • How to Convert Decimal to Percent?

                     Multiply fraction/decimal by 100

                     Example:

                     Write 72/100 in the form of percent.

                     72/120 x 100

                     = 72/6 x 5 …(Divide 120 and 100 by 20.)

                    = 12/1x 5 ...(Divide 72 and 6 by 6.)

                    = 60%

Concept of Whole, Half and Quarter in the Form of Percentage

• • Whole

It is difficult to divide a circle into 100 parts.

So, we can find equivalent fraction of

The 100% part of the circle can be represented as:

• Half

(Divide both numerator and denominator by HCF of 50 and 100 = 50)

The 50% part of the circle can be represented as:

• Quarter

(Divide both numerator and denominator by HCF of 25 and 100 = 25)

The 25% part of the circle can be represented as:

How to Find Percentage of a Number?

• • Represent the given percent into the fraction.
  • Multiply that fraction and the given number.

Example:

Find the 10% of 80.

Step 1:Convert 6% into a fraction.

• 10% = 10/100

Step 2: Multiply the fraction by 80.

= 10/5 x 4

= 2 × 4

= 8

So, 8 is the 10% of 80.

Difference between the words- ‘Percent’ & ‘Percentage’.

• • Percentage is the final answer or quantity we get when we determine the percent of any number.

Example 1:

If we find out 10% of 60, we get

Here, 10 percent of the 60 is 6; 6 is the percentage.

Example 2:

If Sanju got 170 marks out of 200, he gets

Here, 85 is the percentage that Sanju has got.

Did you know?