Solve 813.85/82.02=100/x

$$\frac{ 813.85 }{ 82.02 } = \frac{ 100 }{ x }$$

Solve for x

$$x = \frac{164040}{16277} = 10\frac{1270}{16277} \approx 10.078024206$$

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.

$$x\times \frac{813.85}{82.02}=100$$

Expand \frac{813.85}{82.02} by multiplying both numerator and the denominator by 100.

$$x\times \frac{81385}{8202}=100$$

Multiply both sides by \frac{8202}{81385}, the reciprocal of \frac{81385}{8202}.

$$x=100\times \frac{8202}{81385}$$

Express 100\times \frac{8202}{81385} as a single fraction.

$$x=\frac{100\times 8202}{81385}$$

Multiply 100 and 8202 to get 820200.

$$x=\frac{820200}{81385}$$

Reduce the fraction \frac{820200}{81385} to lowest terms by extracting and canceling out 5.

$$x=\frac{164040}{16277}$$