How to Calculate Percentages

Know what a percentage is., Determine the value of the whole., Find the value that you want to turn into a percentage., Put the two values into a fraction., Convert the fraction into a decimal., Convert the decimal into a percent.

6 Steps 1 min read Medium

Step-by-Step Guide

  1. Step 1: Know what a percentage is.

    A percentage is a way to express a number as a part of a whole.

    To calculate a percentage, we look at the whole as equal to 100%.

    For example, say you have 10 apples (=100%).

    If you eat 2 apples, then you have eaten 2/10 × 100% = 20% of your apples and you are left with 80% of your original apples.

    The term "percent" in English comes from the Italian per cento or the French pour cent, which literally mean per hundred. , For instance, let's say we have a jar containing 1199 red marbles and 485 blue marbles, making it 1684 marbles in total.

    In this case, 1684 makes up a whole jar of marbles, and will be set equal to 100%. , Let's say we want to find out the percentage of the jar that is taken up by the 485 blue marbles. , In our example, we need to find out what percent 485 (number of blue marbles) is of 1684 (total number of marbles).

    Therefore the fraction in this case is 485/1684. , To turn 485/1684 into a decimal, divide 485 by
    1684.

    This comes to
    0.288. , Multiply the result obtained in the step above by
    100.

    For this example,
    0.288 multiplied by 100 equals
    28.8 or
    28.8%.

    A simple way to multiple a decimal by 100 is to move the decimal to the right two places.
  2. Step 2: Determine the value of the whole.

  3. Step 3: Find the value that you want to turn into a percentage.

  4. Step 4: Put the two values into a fraction.

  5. Step 5: Convert the fraction into a decimal.

  6. Step 6: Convert the decimal into a percent.

Detailed Guide

A percentage is a way to express a number as a part of a whole.

To calculate a percentage, we look at the whole as equal to 100%.

For example, say you have 10 apples (=100%).

If you eat 2 apples, then you have eaten 2/10 × 100% = 20% of your apples and you are left with 80% of your original apples.

The term "percent" in English comes from the Italian per cento or the French pour cent, which literally mean per hundred. , For instance, let's say we have a jar containing 1199 red marbles and 485 blue marbles, making it 1684 marbles in total.

In this case, 1684 makes up a whole jar of marbles, and will be set equal to 100%. , Let's say we want to find out the percentage of the jar that is taken up by the 485 blue marbles. , In our example, we need to find out what percent 485 (number of blue marbles) is of 1684 (total number of marbles).

Therefore the fraction in this case is 485/1684. , To turn 485/1684 into a decimal, divide 485 by
1684.

This comes to
0.288. , Multiply the result obtained in the step above by
100.

For this example,
0.288 multiplied by 100 equals
28.8 or
28.8%.

A simple way to multiple a decimal by 100 is to move the decimal to the right two places.

About the Author

R

Robert Morris

Committed to making organization accessible and understandable for everyone.

61 articles
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