Percentage calculation challenge (2)

Algebra Level 4

2016%×2015%×2014%××3%×2%×1%=2016!10x%\large 2016\text{\%}\times2015\text{\%}\times2014\text{\%}\times\dots\times3\text{\%}\times2\text{\%}\times1\text{\%} = \dfrac{2016!}{10^{x}\text{\%}}

Find xx which satisfies the equation above .

Notation: !! denotes the factorial notation. For example, 8!=1×2×3××88! = 1\times2\times3\times\cdots\times8 .

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