2018 AMC 10B Problem 25

Let \lfloor x \rfloor denote the greatest integer less than or equal to x. How many real numbers x satisfy the equation x^2 + 10,000\lfloor x \rfloor = 10,000x?

\textbf{(A) } 197 \qquad \textbf{(B) } 198 \qquad \textbf{(C) } 199 \qquad \textbf{(D) } 200 \qquad \textbf{(E) } 201

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.