35 is 70% of what number

35 is 70% of what number?

The Correct Answer and Explanation is:

To find out what number 35 is 70% of, we can set up the equation:

[
0.70 \times X = 35
]

Where (X) is the unknown number we want to find. To isolate (X), we divide both sides of the equation by 0.70:

[
X = \frac{35}{0.70}
]

Calculating this gives:

[
X = 50
]

Therefore, 35 is 70% of 50.

Explanation

Understanding percentages is crucial in many real-world applications, from budgeting to health assessments. A percentage is a way of expressing a number as a fraction of 100. The term “percent” literally means “per hundred.” Therefore, when we say 70%, we are referring to 70 out of 100 or 70/100.

To determine what number a specific percentage corresponds to, we can use the formula:

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

In our case, the “Part” is 35, and the “Percentage” is 70%. Rearranging the formula helps us identify the “Whole” (which we want to find):

[
\text{Whole} = \frac{\text{Part}}{\text{Percentage}} \times 100
]

Here, we substitute the known values into the formula. First, we convert the percentage into decimal form (70% = 0.70) to make calculations simpler. This conversion is essential in mathematical operations involving percentages, as it allows us to manipulate the numbers more easily.

Next, we calculate the “Whole” by dividing the part (35) by the decimal representation of the percentage (0.70). This operation shows how the part (35) relates to the whole number we’re trying to uncover.

The result, 50, tells us that 35 represents 70% of 50. This calculation illustrates how percentages work and how they can be used to determine unknown values in various practical contexts, such as financial analysis, statistical data interpretation, and more.