Solve for n 48 is 75% of what number?

$48$ is $75 %$ of what number?

Write the problem as a mathematical expression.

$48 = 75 % \cdot n$

Rewrite the equation as $75 % \cdot n = 48$ .

$75 % \cdot n = 48$

Divide each term in $(75 % \cdot n) = 48$ by $75 %$ and simplify.

Divide each term in $(75 % \cdot n) = 48$ by $75 %$ .

$\frac{(75 % \cdot n)}{75 %} = \frac{48}{75 %}$

Simplify the left side.

Cancel the common factor of $75 %$ .

Cancel the common factor.

$\frac{75 % \cdot n}{75 %} = \frac{48}{75 %}$

Divide $n$ by $1$ .

$n = \frac{48}{75 %}$

Simplify the right side.

Convert $75 %$ to a decimal.

$n = \frac{48}{0.75}$

Divide $48$ by $0.75$ .

$n = 64$