Q:

How do you work out percentages without a calculator?

A:

A calculator is always helpful when determining percentages, but you can easily compute percentages without a calculator. A pencil and paper might be helpful as you do this.

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1. Make the percentage a fraction

Determine what the percentage you are trying to find would be. For example, if you wanted to calculate 33 percent of a number, you would use the fraction 1/3.

2. Divide the number you are trying to find the percentage of by the denominator

Take the number you want to find the percentage of (for this example, assume it is 21) and divide it by the denominator, which is the bottom number of the fraction.

Divide 21 by 3 and you find that the answer is 7. This model works any time you want to find the percentage of a number.

Take the answer that you calculated and multiply it by the denominator. The answer you receive should be the number for which you were originally trying to find the percentage. In this example, multiplying the denominator of 3 by the answer you calculated, which was 7 verifies that the answer is correct because the result is the original number of 21.

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Related Questions

• A:

To give a tutorial on percentages, you want to start with the idea that "percent" means "per 100." Start with a few examples such as 1 out of 100 = 1%, and 50 out of 100 = 50%.

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• A:

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.

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• A:

Converting the percentages to decimals then finding the average of these figures and reconverting back to a percentage is the easiest way to do this. You need the percentages you wish to average, paper, a pencil and a calculator.