# Changing Decimal to Percentages Lesson

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? |

2. Which of the following is equal to .0671? |

3. Which of the following is equal to .9004? |

4. What percent of a dollar is a quarter? |

5. What percent of a dollar is a nickel? |