Solve 45.5/100=x/100-8.1

$$\frac { 45.5 } { 100 } = \frac { x } { 100 - 8.1 }$$

Solve for x

$$x=41.8145$$

Steps for Solving Linear Equation

Expand \frac{45.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{455}{1000}=\frac{x}{100-8.1}$$

Reduce the fraction \frac{455}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{91}{200}=\frac{x}{100-8.1}$$

Subtract 8.1 from 100 to get 91.9.

$$\frac{91}{200}=\frac{x}{91.9}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{x}{91.9}=\frac{91}{200}$$

Multiply both sides by 91.9.

$$x=\frac{91}{200}\times 91.9$$

Convert decimal number 91.9 to fraction \frac{919}{10}.

$$x=\frac{91}{200}\times \frac{919}{10}$$

Multiply \frac{91}{200} times \frac{919}{10} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{91\times 919}{200\times 10}$$

Do the multiplications in the fraction \frac{91\times 919}{200\times 10}.

$$x=\frac{83629}{2000}$$