Answer
The salary before the raise is $\$18,500$.
Work Step by Step
Let the salary before the raise is $S$.
$6\%$ of the salary $=0.06S$.
Raised salary $=S+0.06S=1.06S$.
From question we have raised salary $=\$19,610$.
Equate both.
$1.06S=\$19,610$
Divide both sides by $1.06$.
$\frac{1.06S}{1.06}=\frac{\$19,610}{1.06}$
$ S=\$18500$.