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Conversion of Ratio to Percentage


    what you'll learn...

overview

Conversion of ratio to percentage and fraction to percentage are explained. The most important part is to understand the context in which a ratio or fraction is given and handle the conversion accordingly.

ratio conversion examples

Converting the ratio 3 is to 12 to percentage.

100×3/12100×3/12 =25%=25%


Converting the percentage 50%50% to ratio.

50%=50:100=1:250%=50:100=1:2


Note that a percentage is given in a context, like the number of apples is 50%50% of the number of oranges.

When the percentage is converted to a ratio, the ratio is specified in the same context, like the number of apples to number or oranges is in 1:21:2 ratio.

fraction conversion examples

Converting 40% into a fraction.

40%=40/100=2/5


Converting 35 into a percentage.

3/5=35×100%=60%


Note that a percentage is given in a context, like the number of apples is 50% of the number of oranges.

When the percentage is converted to a fraction, the fraction is specified in the same context, like the number of apples is 1/2 fraction of number of oranges.

summary

Conversion of ratio to percentage and fraction to percentage are explained. The most important part is to understand the context in which a ratio or fraction is given and handle the conversion accordingly.

Outline

The outline of material to learn "commercial arithmetics" is as follows.

Note: Click here for the detailed ouline of commercial arthmetics.

  •   Ratio, Proportion, Percentage

    →   Comparing Quantities

    →   Introduction to Ratio

    →   Ration & Fraction Differences

    →   ProportionsP

    →   Percentages

    →   Conversion to percentage

  •   Unitary Method

    →   Introduction to Unitary Method

    →   Direct Variation

    →   Inverse Variation

    →   DIV Pair

  •   Simple & Compound Interest

    →   Story of Interest

    →   Simple Interest

    →   Compound Interest

  •   Rate•Span=Aggregate

    →   Understanding Rate-Span

    →   Speed • Time=Distance

    →   Work-rate • time = Work-amount

    →   Fill-rate • time = Filled-amount

  •   Profit-Loss-Discount-Tax

    →   Profit-Loss

    →   Discount

    →   Tax

    →   Formulas