Percentages calculation challenge

Algebra Level 4

\[\frac{1\overbrace{\text{000...000}}^{2016x\ \text{digits}} \times 1\overbrace{\text{%%%...%%%}}^{888x\ \text{terms of %}}}{10^{2016}}=1\underbrace{\text{000...000}}_{202x\ \text{digits}}\text{%} \]

Find \(x\) which satisfies the above equation.

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