Let's denote the unknown number as \( x \). According to the problem, we have the equation:
\[ \frac{1}{4}(x - 3) = 2 \]
To solve for \( x \), first multiply both sides of the equation by 4 to eliminate the fraction:
\[ x - 3 = 8 \]
Next, add 3 to both sides:
\[ x = 11 \]
Thus, the number is 11.