9 is 60% of what number

9 is 60% of what number ?

The correct answer and explanation is:

To find “9 is 60% of what number?”, we are essentially solving the equation: 9=60% of some number9 = 60\% \text{ of some number}

Step-by-step Solution:

1. Understand what 60% means: 60%=60100=0.660\% = \frac{60}{100} = 0.6
2. Let the unknown number be xx: 0.6x=90.6x = 9
3. Solve for xx: x=90.6x = \frac{9}{0.6}
4. Divide: x=15x = 15

✅ Final Answer:

15\boxed{15}

💡 Explanation (300 words):

When you are asked a question like “9 is 60% of what number?”, it is a percentage problem in reverse. Rather than being asked to find 60% of a known number, you’re told the result (9) and need to figure out the original number.

Percentages are just another way to describe parts of a whole using 100 as the base. Saying 60% is the same as saying “60 out of every 100,” or numerically, 0.6.

So, the question becomes: “0.6 times what number equals 9?”

To solve this, we let the unknown number be xx and form the equation: 0.6x=90.6x = 9

To isolate xx, we divide both sides of the equation by 0.6: x=90.6x = \frac{9}{0.6}

To make division easier, we can think of 0.6 as a fraction: 90.6=9610=9×106=906=15\frac{9}{0.6} = \frac{9}{\frac{6}{10}} = 9 \times \frac{10}{6} = \frac{90}{6} = 15

So, 9 is 60% of 15.

This kind of problem is common in everyday situations like finding discounts, test scores, or comparisons. Understanding how to reverse percentage calculations is essential for interpreting data and solving real-life math problems efficiently.