College

Solve the following:

What percent of 176 is [tex]$35.2$[/tex]?

[tex]$\square\%$[/tex] of 176 is 35.2.

Answer :

We need to determine what percent of [tex]$176$[/tex] is [tex]$35.2$[/tex]. This can be set up as the equation:

[tex]$$
\frac{p}{100} \times 176 = 35.2,
$$[/tex]

where [tex]$p$[/tex] represents the percent.

Step 1. Multiply both sides of the equation by [tex]$100$[/tex] to eliminate the fraction:

[tex]$$
p \times 176 = 35.2 \times 100.
$$[/tex]

Step 2. Simplify the right-hand side:

[tex]$$
35.2 \times 100 = 3520,
$$[/tex]

so the equation becomes:

[tex]$$
176p = 3520.
$$[/tex]

Step 3. Solve for [tex]$p$[/tex] by dividing both sides by [tex]$176$[/tex]:

[tex]$$
p = \frac{3520}{176}.
$$[/tex]

Step 4. Simplify the division:

[tex]$$
p = 20.
$$[/tex]

Thus, [tex]$35.2$[/tex] is [tex]$\boxed{20\%}$[/tex] of [tex]$176$[/tex].