We often hear things like,

  ‘He topped the class with 95% marks’

  ‘The air around us has 21% of oxygen’

or       ‘This cloth is made up of 80% of cotton’

 

But what exactly do we mean by this?

 

Percentage is per-cent

  where, cent  ⇒ century  = 100

 

Hence, percentage is per 100

So, percent (%) = 1/100

 

What does 50% mean?

5.jpg

50% means 50 out of 100

i.e.

  50% = 50 × 1/100

  = 50/100

  = 5/10

  = 1/2

So, 50% means 1/2

 

What does 100% mean?

6.jpg

100% means 100 out of 100

  100% = 100 × 1/100

            = 1

So, 100% means 1

 

 

What does 20% mean?

7.jpg

20% means 20 out of 100

  20% = 20 × 1/100

= 20/100

= 2/10

= 1/5

So, 20% means 1/5

 

We can also  represent percentage in decimals.

 

Represent 50% in decimal

 

50% = 50 × 1/100

 = 5 × 1/10

 = 5/10

 = 0.5

So, 50% also means 0.5

 

Represent 100 % in decimal

 

100% = 100 × 1/100

  = 1

 

So, 100% also means 1

 

Represent 20 % in decimal

 

20% = 20 × 1/100

 = 2 × 1/10

 = 2/10

 = 0.2

 

So, 20% also means 0.2

  1. Chapter 8 Class 7 Comparing Quantities
  2. Concept wise
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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.