750 is 30 percent of what number

750 is 30 percent of what number?

The Correct Answer and Explanation is:

To find out what number 750 is 30 percent of, we can use the formula for percentage calculations. The formula for finding the whole number from a percentage is:

[
\text{Whole} = \frac{\text{Part}}{\text{Percentage}}
]

In this case, the “Part” is 750, and the “Percentage” is 30 percent, which we need to convert to decimal form for calculation. To convert a percentage to a decimal, we divide by 100:

[
30\% = \frac{30}{100} = 0.30
]

Now, we can substitute these values into the formula:

[
\text{Whole} = \frac{750}{0.30}
]

Now, we perform the division:

[
\text{Whole} = 750 \div 0.30
]

Calculating this gives:

[
\text{Whole} = 2500
]

Therefore, 750 is 30 percent of 2500.

Explanation of the Calculation

The concept of percentages is foundational in mathematics and is commonly used in various real-world applications, such as finance, statistics, and sales. When we express a number as a percentage of another number, we are determining how much of that whole number the given amount represents.

In our problem, we started with the number 750, which we know represents 30 percent of some unknown total. To solve for the total, we recognized that dividing the part (750) by the percentage (30 percent expressed as a decimal, 0.30) will yield the whole.

Using division in this context is critical because percentages are fundamentally about ratios. A percentage tells us how many parts out of a whole, so by dividing the part by the decimal equivalent of the percentage, we can uncover the complete picture.

This method can be applied to any percentage problem where you need to determine the whole from a part, making it an essential tool for anyone working with numerical data. The final answer indicates that 750 is indeed 30 percent of 2500, reflecting a clear understanding of how to manipulate percentages in mathematical calculations.