Find $n$ such that $n\%$ of $48$ is equal to $6$. This translates to the equation $\frac{n}{100} \times 48 = 6$.

1. Problem Description

Find $n$ such that $n\%$ of $48$ is equal to $6$. This translates to the equation $\frac{n}{100} \times 48 = 6$.

2. Solution Steps

We need to solve the equation for $n$.

The equation is:

$\frac{n}{100} \times 48 = 6$

Multiply both sides by 100:

$n \times 48 = 6 \times 100$

$48n = 600$

Divide both sides by 48:

$n = \frac{600}{48}$

We can simplify the fraction by dividing both the numerator and the denominator by 12:

$n = \frac{600 \div 12}{48 \div 12} = \frac{50}{4}$

Further simplification by dividing both numerator and denominator by 2:

$n = \frac{50 \div 2}{4 \div 2} = \frac{25}{2}$

$n = 12.5$

3. Final Answer

$n = 12.5$