`20%` of what number is `75` ?

Options

A. `250`
B. `550`
C. `375`
D. `225`

Answer

To solve the problem "20% of what number is 75?", 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 20% of \( x \) equals 75.

2. **Convert Percentage to Fraction**:
- 20% can be expressed as a fraction:
\[ 20\% = \frac{20}{100} = \frac{1}{5} \]

3. **Set Up the Equation**:
- We can write the equation based on the information given:
\[ \frac{1}{5} \times x = 75 \]

4. **Solve for \( x \)**:
- To isolate \( x \), multiply both sides of the equation by 5:
\[ x = 75 \times 5 \]

5. **Calculate \( x \)**:
- Now, perform the multiplication:
\[ x = 375 \]

6. **Conclusion**:
- Therefore, the number we are looking for is:
\[ \boxed{375} \]