Solve 9/23.6=100/x

$$\frac{ 9 }{ 23.6 } = \frac{ 100 }{ x }$$

Solve for x

$$x = \frac{2360}{9} = 262\frac{2}{9} \approx 262.222222222$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{9}{23.6}=100$$

Expand \frac{9}{23.6} by multiplying both numerator and the denominator by 10.

$$x\times \frac{90}{236}=100$$

Reduce the fraction \frac{90}{236} to lowest terms by extracting and canceling out 2.

$$x\times \frac{45}{118}=100$$

Multiply both sides by \frac{118}{45}, the reciprocal of \frac{45}{118}.

$$x=100\times \frac{118}{45}$$

Express 100\times \frac{118}{45} as a single fraction.

$$x=\frac{100\times 118}{45}$$

Multiply 100 and 118 to get 11800.

$$x=\frac{11800}{45}$$

Reduce the fraction \frac{11800}{45} to lowest terms by extracting and canceling out 5.

$$x=\frac{2360}{9}$$