Q:

# How do you convert a percentage to a ratio?

A:

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.

## Keep Learning

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.

Sources:

## Related Questions

• 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."

Filed Under:
• A:

A whole number and a mixed number are simplified by first expressing the sum as a fraction with the same denominator as the proper fraction portion of the mixed number, and then simplifying that fraction if possible. The resulting number is an improper fraction. To convert the improper fraction to a ratio such as x:y, write the numerator of the fraction before the colon, with the denominator after.

Filed Under:
• A:

To determine the percentage of a number, divide the fraction of the amount by the whole amount, and multiply the result by 100. As AAA Math explains, to calculate what percentage 68 is of 87, divide 68 by 87; This equals approximately 0.7816. Multiply this answer by 100. The final answer is 78.16 percent.