Study MaterialsRatio to Percentage Calculator | Writing a ratio as a percentage

Ratio to Percentage Calculator | Writing a ratio as a percentage

 

How to Convert Ratio to Percentage?

Follow the simple and easy steps listed for Ratio to Percentage Conversion and make your work much simple. They are along the lines

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    • Firstly, obtain the given ratio and convert it to a fraction.
    • Work out the division between the given fraction.
    • Multiply the obtained decimal with 100 to get the Percentage Value.
    • Add a Percentage Symbol after the result.

    Solved Examples on Ratio to Percentage Conversion

    1. If the Ratio is 8:2, What is it in Percentage Form?

    Solution:

    Given Ratio = 8:2

    Change the Given Ratio to Fraction Form = 8/2

    Perform Division between the fraction and change it to a decimal value i.e 8/2 = 4

    Simply multiply the result with 100 and place a % symbol at the end.

    = 4*100

    = 400%

    Therefore, Ratio 8:2 converted to Percentage is 400%.

    2. John got his monthly salary. The ratio of expenditure to savings is 5:2. What percentage of the salary, did he spend, and what percentage was saved by him?

    Solution:

    Since the expenditure and savings are 5 and 2 the salary can be taken as 5+2 = 7 parts. This implies the expenditure is 5/7 parts and savings are 2/7 parts.

    Converting Ratio to Percentage we get

    Expenditure Percentage = 5/7*100 = 71.42%

    Savings Percentage = 2/7*100 = 28.57%

    3. There are 50 students in a class of which 15 are boys. What is the Percentage of Boys?

    Solution:

    Given Ratio is 15:50

    Converting it to Fraction Form we have 15/50

    = 3/10

    Multiply the fraction obtained with 100 and place a % symbol at the end

    = 3/10*100

    = 30%

    Therefore, the Percentage of Boys in the Class of 50 Students is 30%.

    4. The Angles of a Triangle are in the Ratio of 1:3:2? Find the Value of each angle along with the percentage of each angle?

    Solution:

    Since the angles are in the ratio 1:3:2 total parts = 1+3+2 = 6

    The measure of the first angle = 1/6*180 = 30 degrees

    The measure of the second angle = 3/6*180 = 90 degrees

    The measure of the third angle = 2/6*180 = 60 degrees

    First Angle Percentage = 1/6*100 = 16.66 %

    Second Angle Percentage = 3/6*100 = 50%

    Third Angle Percentage = 2/6*100 = 33.33%

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