How to deduce $P(C|E) \leq P(C)$ from the following equation

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From the below equation:

$$P(C|E) = {P(Q) \cdot P(C) \over P(Q) \cdot P(C) + (1 - P(C))} $$

where $Q$ is $E|C$.

How could you deduce the following inequality? $$ P(C|E) \leq P(C) $$