Using Multiplication to Find Percents

Which set of statements shows the correct steps to find 70 percent of 82?

A. Write 70 percent as 7 times 1 percent. Write 1 percent as [tex]$\frac{1}{100}$[/tex]. Then, find [tex]$\frac{1}{100}$[/tex] of [tex]$82$[/tex]: [tex]$82 \times \frac{1}{100} = \frac{82}{100} = 0.82$[/tex]. Multiply 0.82 by 7 to get 5.74. So, 70 percent of 82 is 5.74.

B. Write 70 percent as [tex]$\frac{1}{7}$[/tex]. Then, find [tex]$\frac{1}{7}$[/tex] of [tex]$82$[/tex]: [tex]$82 \times \frac{1}{7} = \frac{82}{7} = 11.71$[/tex]. So, 70 percent of 82 is 11.71.

C. Write 70 percent as 7 times 10 percent. Write 10 percent as [tex]$\frac{1}{10}$[/tex]. Then, find [tex]$\frac{1}{10}$[/tex] of [tex]$82$[/tex]: [tex]$82 \times \frac{1}{10} = \frac{82}{10} = 8.2$[/tex]. Multiply 8.2 by 7 to get 57.4. So, 70 percent of 82 is 57.4.

D. Write 70 percent as [tex]$\frac{1}{70}$[/tex]. Then, find [tex]$\frac{1}{70}$[/tex] of [tex]$82$[/tex]: [tex]$82 \times \frac{1}{70} = \frac{82}{70} = 1.17$[/tex]. So, 70 percent of 82 is 1.17.

To find 70 percent of 82, follow these steps:

1. Convert the Percent to a Decimal:
- First, remember that "percent" means "out of 100." So, 70 percent can be written as 70/100.
- To convert a percent to a decimal, divide by 100. This means 70 percent becomes 0.7.

2. Multiply the Decimal by the Number:
- Now, take the decimal (0.7) and multiply it by the number you want to find the percentage of, which is 82.
- [tex]$ 0.7 \times 82 = 57.4 $[/tex].

Therefore, 70 percent of 82 is 57.4.