# Adding Up A Lot Of Floors

Algebra Level 5

$\left \lfloor x +\frac {1}{100} \right \rfloor + \left \lfloor x + \frac {2}{100} \right \rfloor + \cdots + \left \lfloor x + \frac {223} {100} \right \rfloor = 521$

If $x$ is a real number satisfying the equation above, find $\lfloor 100x\rfloor$.

Notation: $\lfloor x \rfloor$ denotes the floor function.

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