Writing Decimals as Percents

Writing Decimals as Percents

Dollars centsProblem: 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: