8% of a number is 6. What is the number?

Options

A. 48
B. 96
C. 75
D. 60

Answer

To solve the problem "8% of a number is 6. What is the number?", we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to find a number (let's call it \( x \)) such that 8% of \( x \) equals 6.

2. **Set Up the Equation**: We can express 8% as a fraction:
\[ 8\% = \frac{8}{100} \]
Therefore, we can write the equation:
\[ \frac{8}{100} \times x = 6 \]

3. **Multiply Both Sides by 100**: To eliminate the fraction, we can multiply both sides of the equation by 100:
\[ 8x = 6 \times 100 \]
Simplifying the right side gives:
\[ 8x = 600 \]

4. **Divide Both Sides by 8**: To solve for \( x \), divide both sides by 8:
\[ x = \frac{600}{8} \]

5. **Calculate the Value of \( x \)**: Now, we perform the division:
\[ x = 75 \]

6. **Conclusion**: The number we are looking for is 75.

### Final Answer:
The number is **75**.

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