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Algebra Level 4

\[\left\lfloor x+0.19 \right\rfloor +\left\lfloor x+0.20 \right\rfloor +\left\lfloor x+0.21 \right\rfloor + \ldots + \left\lfloor x+0.91 \right\rfloor =542 \]

If \(x\) satisfies the equation above, find the value of \(\left\lfloor 100x \right\rfloor \).

Note that \(\left\lfloor X \right\rfloor\) denote the floor function of \(X\).

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