Solve for x
x=\frac{10^{\frac{99}{100}}y}{10}
Solve for y
y=\sqrt[100]{10}x
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\sqrt[100]{10}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{\sqrt[100]{10}x}{\sqrt[100]{10}}=\frac{y}{\sqrt[100]{10}}
Divide both sides by \sqrt[100]{10}.
x=\frac{y}{\sqrt[100]{10}}
Dividing by \sqrt[100]{10} undoes the multiplication by \sqrt[100]{10}.
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