The problem asks us to find the missing value in the expression: $25\%$ of $\underline{\hspace{1cm}}$ is $120$. We need to determine what number, when $25\%$ is taken, results in $120$.

1. Problem Description

The problem asks us to find the missing value in the expression: $25\%$ of $\underline{\hspace{1cm}}$ is $120$. We need to determine what number, when $25\%$ is taken, results in $120$.

2. Solution Steps

Let the missing value be $x$. The problem can be written as an equation:

$25\% \times x = 120$

We can rewrite $25\%$ as a decimal:

$25\% = \frac{25}{100} = 0.25$

So the equation becomes:

$0.25 \times x = 120$

To solve for $x$, we divide both sides of the equation by $0.25$:

$x = \frac{120}{0.25}$

To make the division easier, we can multiply both the numerator and denominator by 100:

$x = \frac{120 \times 100}{0.25 \times 100} = \frac{12000}{25}$

Now we perform the division:

$x = \frac{12000}{25} = 480$

Alternatively, we can think of this problem as:

$\frac{1}{4} \times x = 120$

Multiplying both sides by 4, we get:

$x = 120 \times 4 = 480$

3. Final Answer

The missing value is 480.