If `16%` of a number is 60, find the number.

Answer

To find the number for which 16% equals 60, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We need to find a number \( x \) such that 16% of \( x \) equals 60.

2. **Set Up the Equation**: We can express 16% as a fraction:
\[ 16\% = \frac{16}{100} \]
Therefore, we can write the equation:
\[ \frac{16}{100} \times x = 60 \]

3. **Simplify the Fraction**: To make calculations easier, we can simplify \( \frac{16}{100} \):
\[ \frac{16}{100} = \frac{4}{25} \]
Now, substitute this back into the equation:
\[ \frac{4}{25} \times x = 60 \]

4. **Isolate \( x \)**: To find \( x \), we can multiply both sides of the equation by the reciprocal of \( \frac{4}{25} \), which is \( \frac{25}{4} \):
\[ x = 60 \times \frac{25}{4} \]

5. **Calculate \( x \)**: Now, perform the multiplication:
\[ x = 60 \times \frac{25}{4} = \frac{60 \times 25}{4} \]
First, calculate \( 60 \times 25 \):
\[ 60 \times 25 = 1500 \]
Now divide by 4:
\[ x = \frac{1500}{4} = 375 \]

6. **Final Answer**: Therefore, the number is:
\[ x = 375 \]