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2=\frac{\frac{100}{100}}{\frac{x}{100}}
Divide 50 by 25 to get 2.
2=\frac{100\times 100}{100x}
Divide \frac{100}{100} by \frac{x}{100} by multiplying \frac{100}{100} by the reciprocal of \frac{x}{100}.
2=\frac{100}{x}
Cancel out 100 in both numerator and denominator.
\frac{100}{x}=2
Swap sides so that all variable terms are on the left hand side.
100=2x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
\frac{100}{2}=x
Divide both sides by 2.
50=x
Divide 100 by 2 to get 50.
x=50
Swap sides so that all variable terms are on the left hand side.