What percent is 30 out of 120?

To determine what percent 30 is out of 120, you can use the formula for calculating percentage:

[

\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100

]

In this scenario, the "Part" is 30 and the "Whole" is 120. Plugging these values into the formula gives:

[

\text{Percentage} = \left( \frac{30}{120} \right) \times 100

]

First, simplify the fraction ( \frac{30}{120} ):

[

\frac{30}{120} = \frac{1}{4}

]

Next, when you multiply ( \frac{1}{4} ) by 100, you obtain:

[

\left( \frac{1}{4} \right) \times 100 = 25

]

Thus, 30 out of 120 is equivalent to 25%. This calculation shows that the correct answer aligns with the understanding of percentages and how they are derived from a given part of a whole.