Conversion of a Percentage into a Ratio and Conversion of a ratio into a percentage

Conversion of a percentage into a ratio

To convert a percentage into a ratio, first convert the given percentage into a fraction in simplest form and then to a ratio.

Example:  solve the following :

i) 38%            ii) 25%                 iii) 66.66%

Solution:

i) 38% = 38/100 = 19/50 = 19:50

ii) 25% = 25/100 = 1/4 = 1:4

iii) 66.66%  = 66 2/3% = 200/3x100 = 2/3  = 2:3

Conversion of a ratio into a percentage

To convert a ratio into a percentage, first convert the given ratio into a fraction then to a percentage.

Example: Express the following ratios as percentage:

i) 1:5           ii) 2:3                      iii) 4:9

Solution:

i) 1:5 = 1/5 = 1/5 x 100 = 20%

ii) 2:3 = 2/3 = 2/3 x 100 = 66.66%

iii) 4;9 = 4/9 = 4/9 x100 = 44.44%