Percentage

“Percentage” or “percent” means out of 100

Mathematical sign of percentage is  %

Thus x per cent means x hundredths.

Now it will be written as   X%

We can also define X% as a fraction. so, X%= X
100

Example

15% =  15
100

Note: The numerator (15) of the fraction is called “rate per cent”.


Operations of Percentage

To represent a percentage as a Fraction;

1. Divide the percentage by 100 or multiply the fraction with    1
100
2. After this just remove the percentage sign (%).

Example:

After converting 20% into fraction, the result will be    20
100


To represent a fraction as a percentage;

1. Multiply the percentage with 100  

2. After this we have to add the percentage (%) sign.

Example

After converting   40 into fraction, the result will be  40%
100

To represents one number as a per cent of another;

Example

Question: What % of 16 is 24?

16 X 100%  = 150%
80
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