192 is 96% of what number

192 is 96% of what number

The correct answer and explanation is:

To find what number 192 is 96% of, you can use the formula: Whole number=PartPercentage\text{Whole number} = \frac{\text{Part}}{\text{Percentage}}

Here:

• The part is 192
• The percentage is 96%, or 0.96 in decimal form

Whole number=1920.96=200\text{Whole number} = \frac{192}{0.96} = 200

✅ Final Answer: 192 is 96% of 200.

🧠 Explanation (300 words):

Percentages are commonly used to represent parts of a whole in a wide variety of real-world situations, from discounts to test scores to population growth. When a value is expressed as a percentage of another number, it’s essentially a ratio: it tells us how much out of 100 that value represents.

In this case, we are given that 192 is 96% of some unknown number. We want to find that whole number. To do this, we must reverse the percentage calculation.

Normally, to find 96% of a number, you’d multiply that number by 0.96 (since 96% = 96 ÷ 100 = 0.96).
So: \text{96% of a number} = 0.96 \times \text{That Number}

We are told the result of this calculation is 192. So we set up the equation: 0.96×That Number=1920.96 \times \text{That Number} = 192

To find the unknown number, divide both sides of the equation by 0.96: That Number=1920.96=200\text{That Number} = \frac{192}{0.96} = 200

This tells us that 192 is 96% of 200. In other words, if you take 96% of 200, you get 192.

This kind of calculation is especially useful in scenarios like finding original prices after discounts, estimating total populations from partial samples, or solving percent-based word problems in math and science. Understanding how to reverse a percentage helps build stronger algebra skills and problem-solving strategies.