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Home >> Ratio and Proportion >> Ratio to Percentage >>

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.
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