# 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, $$= 10 \ \% = \frac{10}{100} = \frac{1}{10}$$