Percentage: Introduction


Percentage is the representation of value expressed as a fraction of 100.

Ex: \(25 \ \%\) means \(\frac{25}{100}\), similarily \(50 \ \%\) means \(\frac{50}{100}\), Here 25 and 50 are the parts of whole number 100.

we can use the formula to find out the percentage of any value is given below.$$ Percentage = \frac{Part \ value}{Whole \ value} \times 100 $$

Some examples are given below to understand percentage in a better way-

Example (1): Mr. John scored \(30\) runs out of total score of the team \(150\) runs. Find the percentage score of Mr.John?

Solution: Mr. John scored \(30\) runs out of \(150\) runs means \(\frac{30}{150}\), then $$ Percentage \ Value = \frac{30}{150} \times 100 = 20 \ \% $$

Example (2): Mr. John scored \(20 \ \%\) runs out of total score of the team \(150\) runs. Find the runs scored by of Mr.John?

Solution: Mr. John scored \(20 \ \%\) runs means \(\frac{20}{100}\), then runs scored by Mr.John out of total \(150\) runs $$ = \frac{20}{100} \times 150 = 30 runs $$

Conversion of fraction value into percent value:

Multiply the fraction value by \(100\) for converting a fraction value into percent value, Some examples are given below to understand the conversion-

Example (1): Conversion of fraction value \(\frac{1}{4}\) into percent, $$ = \frac{1}{4} = \frac{1}{4} \times 100 = 25 \ \% $$

Example (2): Conversion of fraction value \(\frac{2}{5}\) into percent, $$ = \frac{2}{5} = \frac{2}{5} \times 100 = 40 \ \% $$

Conversion of percent value into fraction value:

Divide the percent value by \(100\) for converting a percent value into fraction value, Some examples are given below to understand the conversion-

Example (1): Conversion of percent value \(20 \ \%\) into fraction value, $$ = 20 \ \% = \frac{20}{100} = \frac{1}{5} $$

Example (2): Conversion of percent value \(10 \ \%\) into fraction value, $$ = 10 \ \% = \frac{10}{100} = \frac{1}{10} $$




Percentage

Chapter 1: Introduction

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