# The Meaning of Percent Problem: What fraction of each grid is shaded?

 Grid 1 Grid 2 Grid 3   Answer Answer Answer

Each grid above has 100 boxes. For each grid, the ratio of the number of shaded boxes to the total number of boxes can be represented as a fraction.

 Comparing Shaded Boxes to Total Boxes Grid Ratio Fraction 1 96 to 100 2 9 to 100 3 77 to 100 We can represent these fractions as percents using the symbol %. = 96%  = 9%  = 77% Definition: A percent is a ratio whose second term is 100. Percent means parts per hundred. The word comes from the Latin phrase per centum, which means per hundred. In mathematics, we use the symbol % for percent.

Let's look at our comparison table again. This time the table includes percents.

 Comparing Shaded Boxes to Total Boxes Grid Ratio Fraction Percent 1 96 to 100 96% 2 09 to 100 09% 3 77 to 100 77%

Let's look at some examples in which we are asked to convert between ratios, fractions, decimals and percents.

Example 1: Write each ratio as a fraction, a decimal, and a percent:   4 to 100,   63 to 100,   17 to 100

 Solution Ratio Fraction Decimal Percent 04 to 100 .04 04% 63 to 100 .63 63% 17 to 100 .17 17%

Example 2: Write each percent as a ratio, a fraction in lowest terms, and a decimal:   24%,   5%,   12.5%

 Solution Percent Ratio Fraction Decimal 24% 24 to 100 .240 05% 05 to 100 .050 12.5% 12.5 to 100 .125

Example 3: Write each percent as a decimal:   91.2%,   4.9%,   86.75%

 Solution Percent Decimal 91.2% .9120 04.9% .0490 86.75% .8675

Summary: A percent is a ratio whose second term is 100. Percent means parts per hundred and we use the symbol % to represent it. In this lesson, we learned how to convert between ratios, fractions, decimals and percents.

### 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 ? 1.6       8 to 100       16%       None of the above.       RESULTS BOX:
 2.  Which of the following is equal to 21.8%? 218 to 100       .218 None of the above.       RESULTS BOX:
 3.  Which of the following is equal to 150% 15.0       1.50       .150       None of the above.       RESULTS BOX:
 4.  Which of the following is equal to .0179? 1.79%       17.9%       179%       None of the above.       RESULTS BOX:
 5.  Which of the following is equal to 56.28%? 56.28       5.628       .5628       None of the above.       RESULTS BOX: