Counting Integers Satisfying a Floor Inequality

Denote $\lfloor n \rfloor$ to be the greatest integer less than or equal to $n$. For example, $\lfloor 11.2\rfloor = 11$, $\lfloor 90\rfloor = 90$, and $\lfloor -9.8\rfloor = -10$. For how many positive integers from $1$ to $2025$ is $$\displaystyle \frac{x^2}{20} - \left\lfloor \frac{x^2}{20}\right\rfloor < 0.2025$$