# Changing Decimal to Percent  Problem: What percent of a dollar is 76 cents?

\$1.00 = 1.0

76 cents = .76

.76 = 76%

Solution: 76% of a dollar is 76 cents.

The solution to the above problem is not surprising, since dollars, cents and percents are all based on the number 100. To convert a decimal to a percent, multiply the decimal by 100, then add on the % symbol. An easy way to multiply a decimal by 100 is to move the decimal point two places to the right. This is done in the example below.

Example 1: Write each decimal as a percent:    . 93,    .08,    .67,    .41

 Solution Decimal Percent .93 93% .08 08% .67 67% .41 41%

Each decimal in Example 1 went out two places to the right of the decimal point. However, a decimal can have any number of places to the right of the decimal point. Let's look at Examples 2 and 3 below.

Example 2: Write each decimal as a percent:     .786,    .002,    .059,    .8719

 Solution Decimal Percent .7860 78.6% .0020 .2% .0590 5.9% .8719 87.19%

Example 3: Write each decimal as a percent:     .1958,     .007,    .05623,    .071362

 Solution Decimal Percent .195800 19.58% .007000 .7% .056230 5.623% .071362 7.1362%

Summary: To write a decimal as a percent, multiply it by 100, then add on the % symbol. To multiply a decimal by 100, move the decimal point two places to the right. Do not forget to include the percent symbol when writing a percent.

### Exercises

Directions: Read each question below. Select your answer by clicking on its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, choose a different button.

 1.  Which of the following is equal to .475? 475%       47.5%       4.75%       None of the above.       RESULTS BOX:
 2.  Which of the following is equal to .0671? .0671%       .671%       6.71%       None of the above.       RESULTS BOX:
 3.  Which of the following is equal to .9004? 90.04%       9.004%       .9004%       None of the above.       RESULTS BOX:
 4.  What percent of a dollar is a quarter? 2.5%       25%       .25%       None of the above.       RESULTS BOX:
 5.  What percent of a dollar is a nickel? 5%       50%       .5%       None of the above.       RESULTS BOX: