How do you convert a percentage to a ratio?
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Q:

How do you convert a percentage to a ratio?

A:

Quick Answer

To convert a percentage to a ratio, write out the percentage number as a fraction, reduce the fraction to its simplest form and convert the new fraction to a ratio by replacing the slash mark with a colon. Converting a percentage to a ratio takes only a few minutes and requires paper and a pencil.

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Full Answer

  1. Write the percentage down as a fraction

    Start by writing out the percentage as a fraction over 100. So, if the percentage is 46 percent, write it as the following: 46/100.

  2. Reduce the fraction

    Take the fraction down to its simplest form. The example, 46/100, can be reduced by dividing both numbers by 2, or 2/2. This yields the fraction 23/50, which cannot be reduced further.

  3. Express the fraction as a ratio

    Expressing a fraction as a ratio simply means replacing the slash mark with a colon. So, in the example, 23/50 becomes the ratio 23:50.

  4. Convert a ratio into a fraction

    To reverse the process, turn the ratio back into a fraction. To use a new example, convert the ratio 5:7 into 5/7. Divide the top number by the bottom number. In the example, this yields 0.71. Convert the decimal into a percentage by moving the period two places to the right and adding the percent symbol. In this case, the answer is 71 percent, or 71 percent.

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Related Questions

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    How do you write each percent as a fraction in its simplest form?

    A:

    You can easily write a number in percentage form as a fraction in its simplest form by converting your numbers from one form to the other. A percentage can be directly converted to a fraction, or a percentage can be converted to a decimal first, then to a fraction. In converting percentages to simplified fractions, it is important to keep in mind that percent means "out of 100."

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  • Q:

    How do you solve percentages?

    A:

    A percentage is solved by transferring a percentage into a decimal or a fraction, or by transferring a decimal or fraction into a percentage. To transfer a percentage into a decimal, divide the percentage by 100. To transfer it into a fraction, multiply the fraction by 100.

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  • Q:

    What is the formula to calculate percentages?

    A:

    Calculating percentage from a decimal or a fraction requires multiplying by 100. For a decimal, this means moving the decimal point two places to the right; for example, .28 equals 28 percent. To convert fractions, the numerator is divided by the denominator and the quotient is multiplied by 100.

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  • Q:

    How do you convert a ratio to a percentage?

    A:

    Converting a ratio to a percentage involves using division to change the fractional or descriptive ratio to a portion out of 100. For example, the ratio of 1 in 4, which can also be expressed as 1/4, would convert to a percentage through the division of 1 by 4 and then multiplying by 100, equaling 25 percent.

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