Which set of statements shows the correct steps to find 70 percent of [tex]$82$[/tex]?

A. Write 70 percent as [tex]$7 \times 1$[/tex] percent. Write 1 percent as [tex]$\frac{1}{100}$[/tex]. Then, find [tex]$\frac{1}{100}$[/tex] of [tex]$82$: 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]$82$: 82 \times \frac{1}{7}=\frac{82}{7}=11.71[/tex]. So, 70 percent of 82 is 11.71.

C. Write 70 percent as [tex]$7 \times 10$[/tex] percent. Write 10 percent as [tex]$\frac{1}{10}$[/tex]. Then, find [tex]$\frac{1}{10}$[/tex] of [tex]$82$: 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]$82$: 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. Understand what 70 percent means: Percent means "per hundred," so 70 percent is the same as 70 out of 100, or 70/100.

2. Convert 70 percent to a decimal:
[tex]\[
\frac{70}{100} = 0.7
\][/tex]

3. Multiply the decimal by 82:
[tex]\[
0.7 \times 82 = 57.4
\][/tex]

So, 70 percent of 82 is 57.4.

Among the statements given in the question, the correct set of steps matches:

Write 70 percent as [tex]$70 \times 1$[/tex] percent.

1. Write 1 percent as [tex]$\frac{1}{100}$[/tex].
2. Then, find [tex]$\frac{1}{100}$[/tex] of 82:
[tex]\[
82 \times \frac{1}{100} = \frac{82}{100} = 0.82
\][/tex]

3. Multiply 0.82 by 70 to get:
[tex]\[
0.82 \times 70 = 57.4
\][/tex]

Thus, 70 percent of 82 is 57.4. This matches the correct steps given in the statements.