30% of a number is 225. Find the number.

Answer

To solve the problem "30% of a number is 225. Find 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 30% of \( x \) equals 225.

2. **Set Up the Equation**: We can express 30% of \( x \) mathematically as:
\[ 30\% \text{ of } x = \frac{30}{100} \times x = 225 \]

3. **Rewrite the Equation**: This gives us the equation:
\[ \frac{30}{100} \times x = 225 \]

4. **Eliminate the Fraction**: To eliminate the fraction, we can multiply both sides of the equation by 100:
\[ 30 \times x = 225 \times 100 \]

5. **Calculate the Right Side**: Now calculate \( 225 \times 100 \):
\[ 30x = 22500 \]

6. **Isolate \( x \)**: Next, divide both sides by 30 to solve for \( x \):
\[ x = \frac{22500}{30} \]

7. **Perform the Division**: Now, divide 22500 by 30:
\[ x = 750 \]

8. **Conclusion**: Therefore, the number is:
\[ \text{The number is } 750. \]