If `0.6%` of a number is 15, find the number.

Answer

To find the number for which `0.6%` equals `15`, we can follow these steps:

### Step-by-Step Solution:

1. **Set Up the Equation**:
Let the unknown number be represented by \( x \). According to the problem, \( 0.6\% \) of \( x \) is equal to \( 15 \). This can be expressed mathematically as:
\[ 0.6\% \times x = 15 \]

2. **Convert Percentage to Decimal**:
We know that \( 0.6\% \) can be converted to a decimal by dividing by \( 100 \):
\[ 0.6\% = \frac{0.6}{100} = 0.006 \]
Therefore, the equation becomes:
\[ 0.006 \times x = 15 \]

3. **Isolate \( x \)**:
To find \( x \), we can rearrange the equation by dividing both sides by \( 0.006 \):
\[ x = \frac{15}{0.006} \]

4. **Calculate \( x \)**:
To simplify the calculation, we can multiply both the numerator and the denominator by \( 1000 \) to eliminate the decimal:
\[ x = \frac{15 \times 1000}{0.006 \times 1000} = \frac{15000}{6} \]

5. **Perform the Division**:
Now, we can divide \( 15000 \) by \( 6 \):
\[ x = 2500 \]

### Final Answer:
The number is \( 2500 \).

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