By How many Percent Do I have to move Line to get 45 degree

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How do I calculate the value of Y that will make the angle 45 deg. The side (Y+Z) is calculated in percentage, so that Y is said to be x% of the length (Y+Z).

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If the grey shape is a square, then you only need note that $\tan45=1=\frac{y}{\text{base}}$ to establish that $y=\text{base}\to x=100\%$.