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# How do you work out percentages?

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Percentages are found by dividing the given amount from the whole and multiplying the decimal result by 100. In most cases, you need a calculator to ensure the proper amount, especially with regards to decimal spaces.

## Keep Learning

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1. Determine the given amount

Determine the given amount that defines the percentage that you are looking to calculate. For example, if you were given a problem statement that said seven eggs were taken out of a dozen, the given amount would be the seven eggs.

2. Divide the given by the total

Divide the given amount by the total to produce a decimal result. From the previous example, you would perform the following calculation: 7/12 = 0.5833. You can determine how many decimal spots you need in your calculation.

3. Multiply the result by 100

Multiply the decimal result by 100 to get the percentage amount. This can also be done by moving the decimal two spaces to the right. Performing either of these actions with the previous calculation produces an answer of 58.33 percent.

4. Finding the amounts with the given percentage

If you are given the percentage and one of the amounts, you may find the other amount by rearranging the formula. Using the previous example, if you were given the decimal and the total, you would set up the equation as follows: x/12 = 0.5833. You would rearrange the equation and solve as shown: x = 12(0.5833) = 7.

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## Related Questions

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To calculate percentages, convert the percentage to a decimal and multiply it by the number in the problem. For example, to find 40 percent of 50, change it to 0.40 times 50, which gives you the result of 20.

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Calculating percentages is a key concept in mathematics. Percentage calculations are important in all forms of mathematics including algebra, geometry and calculus. They're also utilized in many sciences such as chemistry, physics and biology.

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Some simple way kids can figure out percentages are to relate basic fraction with percentages or use grid paper. Grid paper that is 10 by10 is useful for teaching younger students that a percentage is given as parts per 100. For example, using grid paper or sheet, teachers can show that 10 percent is 10 squares on the grid sheet that contain 100 squares, or 10 per 100; once students master finding percentages with this technique, they can move on to equating basic percentages like 10 percent, 25 percent and 50 percent with their corresponding fractions.