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?
**

**
**

**
**

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?
**

**
**

**
**

100% means 100 out of 100

100% = 100 × 1/100

= 1

So, 100% means 1

####
**
What does 20% mean?
**

**
**

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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