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

A. Write 70 percent as [tex]$7.1$[/tex] percent. Write 1 percent as [tex]$\frac{1}{100}$[/tex]. Then, find [tex]$\frac{1}{100}$[/tex] of [tex]$82$[/tex]: [tex]$82 \times \frac{1}{100} = 0.82$[/tex]. Multiply [tex]$0.82$[/tex] by [tex]$7$[/tex] to get [tex]$5.74$[/tex]. So, 70 percent of [tex]$82$[/tex] is [tex]$5.74$[/tex].

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

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

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

To find 70 percent of 82, we can follow these clear steps:

1. Recognize that 70 percent means 70 out of 100, or equivalently, 7 times 10 percent.
2. Find 10 percent of 82 by dividing 82 by 10:
[tex]$$10\% \text{ of } 82 = \frac{82}{10} = 8.2.$$[/tex]
3. Multiply the 10 percent value by 7 to determine 70 percent:
[tex]$$70\% \text{ of } 82 = 7 \times 8.2 = 57.4.$$[/tex]

Thus, 70 percent of 82 is [tex]$\boxed{57.4}$[/tex].