Ratio to Percentage

Ratio as Fraction

Equivalent Ratios

Proportion

Terms (Proportion)

Ratio to Percentage

Before you study this concept, you are adviced to read: What is Ratio ? What is Percentage ? What are Terms of Ratio ? How to Convert Fraction to Percentage ? Steps of converting Ration to Percentage are as follows: 1) Calculate Sum of terms of given ratio 2) Represent respective Term of Ratio in Fractional form 3) Convert Fractional Form into percentage Example 1: Convert Ratio 4 : 1 into percentage. Solution: Terms of given ratio are: First Term = 4 Second Term = 1 Steps of Conversion are as follows: Step 1 : Calculate Sum of terms of given ratio and we get: 4 + 1 = 5 Therefore sum of terms of given ratio = 5 Step 2 : Represent respective Term of Ratio in Fractional form Fractional Form of First Term = First Term / Sum of terms Put value of first term and sum of terms from above and we get: = 4/5 Therefore, Fractional Form of First Term = 4/5 Fractional Form of Second Term = Second Term / Sum of terms Put value of second term and sum of terms from above and we get: = 1/5 Therefore, Fractional Form of Second Term = 1/5 Step 3 : Convert Fractional Form into percentage Percentage of First Term = Fractional Form of First Term x 100 % Put value of Fractional Form of First Term from above and we get: = (4/5) X 100 Solve the above expression and we get: = 80 Therefore, Percentage of First Term = 80% Percentage of Second Term = Fractional Form of Second Term x 100 % Put value of Fractional Form of Second Term from above and we get: = (1/5) X 100 Solve the above expression and we get: = 20 Therefore, Percentage of Second Term = 20% Hence, 4 : 1 = 80% : 20% Example 2: Express Ratio 4 : 6 into percentage form. Solution: Terms of given ratio are: First Term = 4 Second Term = 6 Steps of Conversion are as follows: Step 1 : Calculate Sum of terms of given ratio and we get: 4 + 6 = 10 Therefore sum of terms of given ratio = 10 Step 2 : Represent respective Term of Ratio in Fractional form Fractional Form of First Term = First Term / Sum of terms Put value of first term and sum of terms from above and we get: = 4/10 Therefore, Fractional Form of First Term = 4/10 Fractional Form of Second Term = Second Term / Sum of terms Put value of second term and sum of terms from above and we get: = 6/10 Therefore, Fractional Form of Second Term = 6/10 Step 3: Convert Fractional Form into percentage Percentage of First Term = Fractional Form of First Term x 100 % Put value of Fractional Form of First Term from above and we get: = (4/10) X 100 Solve the above expression and we get: = 40 Therefore, Percentage of First Term = 40% Percentage of Second Term = Fractional Form of Second Term x 100 % Put value of Fractional Form of Second Term from above and we get: = (6/10) X 100 Solve the above expression and we get: = 60 Therefore, Percentage of Second Term = 60% Hence, 4 : 6 = 40% : 60% Study More Solved Questions / Examples In a class, boys and girls are in the ration of 3 : 2. Find the percentage of boys and girls in the class. Anna divided her salary among her son and daughter in the ration of 3 : 7. Find What percent of Anna salary did her son and daughter received. Length and breadth are in ratio of 2 : 8. Find their respective value in percentage. In a triangle, sides are in ratio of 2 : 3 : 4. Find the equivalent value of sides in percentage.