Ratio to Percentage : Solved Examples

Ratio as Fraction

Equivalent Ratios

Proportion

Terms (Proportion)

Ratio to Percentage

Length and breadth are in ratio of 2 : 8. Find their respective value in percentage. As per the given question: Length : Breadth = 2 : 8 So, length and breadth are the term of ratio & their respective term value is: Length = 2 Breadth share = 8 Steps of Conversion are as follows: Step 1 : Calculate Sum of terms of given ratio and we get: 2 + 8 = 10 Therefore sum of terms of given ratio = 10 Step 2 : Represent Ratio of length and breadth in Fractional form Fractional Form for Length = Term Value of Length / Sum of terms Put value of Length and sum of terms from above and we get: = 2/10 Therefore, Fractional Form for Length = 2/10 Fractional Form for breadth = Term value of breadth / Sum of terms Put value of breadth and sum of terms from above and we get: = 8/5 Therefore, Fractional Form for breadth = 8/10 Step 3 : Convert Fractional Form into percentage Percentage of Length = Fractional Form for Length x 100 % Put value of Fractional Form for Length from above and we get: = (2/10) X 100 Solve the above expression and we get: = 20 Therefore, Percentage of Length = 20% Percentage for Breadth = Fractional Form for Breadth x 100 % Put value of Fractional Form for Breadth from above and we get: = (8/10) X 100 Solve the above expression and we get: = 80 Therefore, Percentage of Breadth = 80% Hence, Length : Breadth = 20% : 80% Related Question 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.