Skills Handbook

Percents and Percent Applications

Percent means “per hundred.” Find fraction, decimal, and percent equivalents by replacing one symbol for hundredths with another.

Example 1

Write each number as a percent.

1. 

   Move the decimal point two places to the right and write a percent sign.

2. 3 5 = 60 100 = 60 % 3 fifths , equals , 60 over 100 , equals 60 percent

   Write the fraction as hundredths. Then replace the hundredths with a percent sign.

3. 1 1 6 = 7 6 = 1.166 6 ¯ = 116. 6 ¯ % 1 , and 1 sixth , equals , 7 sixths , equals , 1.166 , 6 bar , equals , 116. , 6 bar , percent

   First, use 7 ÷ 6 7 divides 6 to write 1 1 6 1 , and 1 sixth as a decimal.

Example 2

Write each percent as a decimal.

Example 3

Use an equation to solve each percent problem.

1. What is  30 % of  12 ? ↓ ↙ ↙ n = 0.3 × 12 n = 3.6 table with 4 rows and 1 column , row1 column 1 , cap whatis . 30 , percentof , 12 question mark , row2 column 1 , downwards arrow south west arrow south west arrow , row3 column 1 , n equals 0.3 times 12 , row4 column 1 , n equals 3.6 , end table
2. 18 is  0 .3% of what? ↓ ↓ ↓ 18 = 0.003 × n 18 0.003 = 0.003 n 0.003 6000 = n table with 3 rows and 1 column , row1 column 1 , 18is , 0 . .3percentofwhatquestion mark , row2 column 1 , downwards arrow downwards arrow downwards arrow , row3 column 1 , table with 3 rows and 3 columns , row1 column 1 , 18 , column 2 equals , column 3 0.003 , times n , row2 column 1 , 18 over 0.003 , column 2 equals , column 3 fraction 0.003 , n , over 0.003 end fraction , row3 column 1 , 6000 , column 2 equals , column 3 n , end table , end table
3. What percent of  60  is  9 ? ↘ ↙ ↓ n × 60 = 9 60 n = 9 n = 9 60 = 0.15 = 15 % table with 3 rows and 1 column , row1 column 1 , cap whatpercentof . 60 , is , 9 question mark , row2 column 1 , south east arrow south west arrow downwards arrow , row3 column 1 , table with 3 rows and 3 columns , row1 column 1 , n times 60 , column 2 equals , column 3 9 , row2 column 1 , 60 n , column 2 equals , column 3 9 , row3 column 1 , n , column 2 equals , column 3 9 sixtieths , equals , 0.15 , equals 15 percent , end table , end table

Exercises

Write each decimal as a percent and each percent as a decimal.

1. 0.46
2. 1.506
3. 0.007
4. 8%
5. 103.5%
6. 3.3%

Write each fraction or mixed number as a percent.

7. 1 4 1 fourth
8. 3 8 3 eighths
9. 2 3 2 thirds
10. 4 9 4 ninths
11. 1 3 20 1 , and 3 twentieths
12. 1 200 1 200th

Use an equation to solve each percent problem. Round your answer to the nearest tenth, if necessary.

13. What is 25% of 50?
14. What percent of 58 is 37?
15. 120% of what is 90?
16. 8 is what percent of 40?
17. 15 is 75% of what?
18. 80% of 58 is what?

Table of Contents