28 is 40 percent of what number

The Correct Answer and Explanation is:

Answer:

28 is 40 percent of 70.

Explanation :

To solve the problem “28 is 40 percent of what number?”, we are essentially looking for the whole number that 28 represents 40% of.

Let’s break it down:

Step 1: Understand the question

The phrase “28 is 40 percent of what number” translates to a mathematical equation.
We can let that unknown number be x.

The word “is” becomes =.
“40 percent of x” becomes (40/100) × x or 0.4 × x.

So the equation becomes:
28 = 0.4 × x

Step 2: Solve for x

To find x, we need to isolate it.
Divide both sides of the equation by 0.4: x=280.4x = \frac{28}{0.4}

To do this division: x=280.4=70x = \frac{28}{0.4} = 70

So, the number is 70.

Step 3: Double-check your answer

Let’s verify it by finding 40% of 70: 40% of 70=0.4×70=2840\% \text{ of } 70 = 0.4 × 70 = 28

The math checks out, so the answer is correct.

Why this makes sense

Percentages represent parts of a whole.
So if 28 is 40% of a number, it means that 28 is just a part of a larger number — specifically, 40 out of 100 parts.

To find the whole from the part and the percent, you divide the part by the decimal form of the percent (here, 0.4).

This is a common concept used in many real-life scenarios like finding original prices before discounts, calculating tips, or understanding test scores.

Final Answer: 70