Solve P/100=A/B

$$\frac { P } { 100 } = \frac { A } { B }$$

Solve for A

$$A=\frac{BP}{100}$$

$$B\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100B, the least common multiple of 100,B.

$$BP=100A$$

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

$$100A=BP$$

Divide both sides by 100.

$$\frac{100A}{100}=\frac{BP}{100}$$

Dividing by 100 undoes the multiplication by 100.

$$A=\frac{BP}{100}$$

Solve for B

$$\left\{\begin{matrix}B=\frac{100A}{P}\text{, }&A\neq 0\text{ and }P\neq 0\\B\neq 0\text{, }&P=0\text{ and }A=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable B cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100B, the least common multiple of 100,B.

$$BP=100A$$

The equation is in standard form.

$$PB=100A$$

Divide both sides by P.

$$\frac{PB}{P}=\frac{100A}{P}$$

Dividing by P undoes the multiplication by P.

$$B=\frac{100A}{P}$$

Variable B cannot be equal to 0.

$$B=\frac{100A}{P}\text{, }B\neq 0$$