Solve 813.85/83.15=100/x

$$\frac{ 813.85 }{ 83.15 } = \frac{ 100 }{ x }$$

Solve for x

$$x = \frac{166300}{16277} = 10\frac{3530}{16277} \approx 10.216870431$$

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.

$$x\times \frac{813.85}{83.15}=100$$

Expand \frac{813.85}{83.15} by multiplying both numerator and the denominator by 100.

$$x\times \frac{81385}{8315}=100$$

Reduce the fraction \frac{81385}{8315} to lowest terms by extracting and canceling out 5.

$$x\times \frac{16277}{1663}=100$$

Multiply both sides by \frac{1663}{16277}, the reciprocal of \frac{16277}{1663}.

$$x=100\times \frac{1663}{16277}$$

Express 100\times \frac{1663}{16277} as a single fraction.

$$x=\frac{100\times 1663}{16277}$$

Multiply 100 and 1663 to get 166300.

$$x=\frac{166300}{16277}$$