What percent of 32 is 5.6? Practice Tutorial Scan for Multimedia 14. What percent of 32 is 5.62 p * 32 32p 32p = 32 p = 1 % 17 What is 2.25% of 24
The Correct Answer and Explanation is:
Let’s solve both parts of your question:
Part 1: What percent of 32 is 5.6?
We are trying to find what percent (let’s call it p) of 32 equals 5.6.
Use the formula: Percentage=(PartWhole)×100\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
Substitute the values: p=(5.632)×100p = \left(\frac{5.6}{32}\right) \times 100 p=0.175×100=17.5%p = 0.175 \times 100 = 17.5\%
✅ Answer: 5.6 is 17.5% of 32
Part 2: What is 2.25% of 24?
Now, we find what 2.25% of 24 is.
Use the formula: Part=(Percent100)×Whole\text{Part} = \left(\frac{\text{Percent}}{100}\right) \times \text{Whole} Part=(2.25100)×24=0.0225×24=0.54\text{Part} = \left(\frac{2.25}{100}\right) \times 24 = 0.0225 \times 24 = 0.54
✅ Answer: 2.25% of 24 is 0.54
Explanation
Understanding percentages is essential in everyday life, from shopping discounts to interpreting data in science and business. A percentage is simply a way to express a number as a part of 100. To convert any number into a percentage of another, we use a simple formula: Percentage=(PartWhole)×100\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
In the first problem, we were asked, “What percent of 32 is 5.6?” This translates to asking how much of 32 is represented by 5.6 in percent terms. By dividing 5.6 by 32 and multiplying by 100, we find that 5.6 is 17.5% of 32. This means that if you had 32 items, 5.6 would represent 17.5% of them.
In the second problem, we wanted to find 2.25% of 24. This is done by converting 2.25% into a decimal (which is 0.0225) and multiplying it by 24. The result is 0.54, meaning 2.25% of 24 is 0.54. This kind of calculation is common when figuring out interest rates, tax, and proportions.
Both examples demonstrate the versatility of percentages. You can go from a part to a percent, or from a percent to a part, using straightforward multiplication or division. Mastering these formulas makes it easier to analyze quantities and compare different values in a meaningful way.
