jmc

If $5$ times a number is $2$, then $5x=2\to x=\frac{2}{5}$, and the number is $\frac{2}{5}$. If the number is $\frac{2}{5}$, then $100$ times its reciprocal is $100$ times $\frac{5}{2}$, which is $250$, giving an answer of $\boxed{250}$.