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?

Percentages - Part 2

100% means 100 out of 100

  100% = 100 × 1/100

            = 1

So, 100% means 1

 

 

What does 20% mean?

Percentages - Part 3

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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.