What percent of 32 is 5.6

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?
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:

To solve the problem “What percent of 32 is 5.6?”, we use the basic formula for percentage problems:

Part = Percent × Whole

Let:

• the percent be represented by p
• the part is 5.6
• the whole is 32

So the equation becomes:

p × 32 = 5.6

Step-by-step Solution:

1. Set up the equation:
   p⋅32=5.6p \cdot 32 = 5.6
2. Solve for p (divide both sides by 32):
   p=5.632p = \frac{5.6}{32}
3. Calculate the value of p:
   p=0.175p = 0.175
4. Convert to percent (multiply by 100):
   p=0.175×100=17.5%p = 0.175 \times 100 = 17.5\%

Final Answer:

5.6 is 17.5% of 32

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Explanation

Understanding percent problems is key to solving many everyday math questions, including this one. In this case, we are asked to find what percent of the number 32 equals 5.6. In mathematical terms, we want to know what fraction or portion 5.6 is of 32, expressed as a percent.

We start by using the percentage formula:
Part = Percent × Whole

Rearranging the equation to solve for Percent gives:
Percent = Part ÷ Whole

In this problem, the part is 5.6, and the whole is 32. Plugging the numbers into the formula:
Percent = 5.6 ÷ 32 = 0.175

This gives us a decimal. To convert a decimal to a percentage, we multiply by 100:
0.175 × 100 = 17.5%

This means 5.6 is 17.5 percent of 32.

This type of problem is essential in real-life contexts like shopping (e.g., finding out discounts), finance (calculating interest), and even in science or statistics when interpreting data. It reinforces the idea that a percentage is just a ratio or comparison between two numbers, where the whole is always considered as 100%.

By using a clear step-by-step method—set up the equation, isolate the unknown, and convert—we can consistently solve similar problems with confidence and accuracy.