What percent is 30 out of 120?

Study for the SAE Mathematics Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

What percent is 30 out of 120?

Explanation:
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.

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.

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