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write and solve an equation to answer the question, \39.2 is what perce…

Question

write and solve an equation to answer the question, \39.2 is what percent $p$ of 112?\
an equation is $square = p cdot square$.
the solution is $p = square$, or $square%$.

Explanation:

Step1: Set up the percentage equation

To find what percent $p$ (as a decimal) of 112 equals 39.2, we use the structure: part = percent × whole.
$39.2 = p \cdot 112$

Step2: Solve for $p$

Isolate $p$ by dividing both sides by 112.
$p = \frac{39.2}{112}$
$p = 0.35$

Step3: Convert to percentage

Multiply the decimal result by 100 to get the percentage.
$0.35 \times 100 = 35\%$

Answer:

An equation is $\boldsymbol{39.2 = p \cdot 112}$.
The solution is $p = \boldsymbol{0.35}$, or $\boldsymbol{35}\%$.