28.52 is 36.8 % of what number

28.52 is 36.8 % of what number

The correct answer and explanation is:

To find what number 28.52 is 36.8% of, we can use the following formula: Part=Percent×Whole\text{Part} = \text{Percent} \times \text{Whole}

Rewriting the formula to solve for the Whole: Whole=PartPercent\text{Whole} = \frac{\text{Part}}{\text{Percent}}

In this case:

• Part = 28.52
• Percent = 36.8% = 0.368 (as a decimal)

Whole=28.520.368\text{Whole} = \frac{28.52}{0.368} Whole≈77.5\text{Whole} \approx 77.5

✅ Final Answer:

28.52 is 36.8% of 77.5

📘 Explanation (300 words):

Understanding percentages is essential in many aspects of everyday life, from calculating discounts and taxes to solving real-world problems in finance and science.

In this problem, we are told that 28.52 is 36.8% of a certain number, and our goal is to find that original number. This is a classic example of working backwards from a percentage.

First, we translate 36.8% into its decimal form. This is done by dividing by 100: 36.8%=36.8100=0.36836.8\% = \frac{36.8}{100} = 0.368

Next, using the formula for finding the base value (whole): Whole=PartPercent (decimal)\text{Whole} = \frac{\text{Part}}{\text{Percent (decimal)}}

Substitute the known values: Whole=28.520.368≈77.5\text{Whole} = \frac{28.52}{0.368} \approx 77.5

This tells us that 28.52 is 36.8% of 77.5.

Why This Works:

Think of percentages as parts of 100. So 36.8% means “36.8 parts out of 100.” If 28.52 represents those 36.8 parts, then 100 parts (the whole) would be more. By dividing, we essentially scale the part up to find out what 100% (the full value) would be.

Real-Life Application:

This method is often used in financial calculations. For example, if you know how much tax you paid (e.g., $28.52), and you know the tax rate (e.g., 36.8%), this formula helps you figure out what the original price was before tax — in this case, $77.50.