Percentage

Concept of Percentage

Percentage = Per + Cent

The meaning of 'Cent' is 'Century', i.e. 'Hundred'

Thus, 'percent' means per hundred.

In other words, amount or number in per hundred.

Here, 'percent' and 'percentage' are synonym, i.e. both have same meaning.

Hundredth part

Concept of 'percent' or 'percentage' is based on 'hundredth part'.

Hundredth part means, Out of hundred equal parts, each part is called its 'Hundredth Part'.

Therefore,

Hence, by saying a certain ‘percent’ or ‘percentage’ it means ‘that many’ hundredths.

That is how many in hundredths.

Expression of percentage:

Percentage is expressed by a symbol ‘%’.

Example

10%, 20%, 5%, 9%, 25%, m%, y%, q%, x%, etc.

(1) If we say 10%, this means 10 per hundred

(2) If we say 5%, this means that 5 per hundred

(3) If we say 25%, this means that 25 per hundred

(4) If we say 30%, this means that 30 per hundred

Similarly,

(5) If we say m%, this means ‘m’ per hundred

(6) If we say ‘x%’ this means ‘x’ per hundred.

(7) If we say ‘y%’, this means ‘y’ per hundred.

Conversion of Percentage into Fraction

Steps:

(1) Remove the sign of percent or percentage (%)

(2) Divide the given number by 100

(3) Do required calculation

(4) Result will be answer

Examples:

(1) Convert 5% into fraction

Solution:

Given, 5%

Steps:

(1) Remove the sign of percent or percentage (%)

= 5

(2) Divide the given number by 100

(3) Do required calculation

(2) Convert 20% into fraction

Solution:

Given, 20%

(3) Convert 50% into fraction

Solution:

Given, 50%

(4) Convert 30% into fraction

Solution:

Given, 30%

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