Solve R=k/HB*100%

$$R = \frac { k } { H B } \times 100 \%$$

Solve for B

$$\left\{\begin{matrix}B=\frac{k}{HR}\text{, }&k\neq 0\text{ and }H\neq 0\text{ and }R\neq 0\\B\neq 0\text{, }&R=0\text{ and }k=0\text{ and }H\neq 0\end{matrix}\right.$$

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 100BH, the least common multiple of HB,100.

$$R\times 100BH=100k\times \frac{100}{100}$$

Divide 100 by 100 to get 1.

$$R\times 100BH=100k\times 1$$

Multiply 100 and 1 to get 100.

$$R\times 100BH=100k$$

Cancel out 100 on both sides.

$$RBH=k$$

The equation is in standard form.

$$HRB=k$$

Divide both sides by RH.

$$\frac{HRB}{HR}=\frac{k}{HR}$$

Dividing by RH undoes the multiplication by RH.

$$B=\frac{k}{HR}$$

Variable B cannot be equal to 0.

$$B=\frac{k}{HR}\text{, }B\neq 0$$

Solve for H

$$\left\{\begin{matrix}H=\frac{k}{BR}\text{, }&k\neq 0\text{ and }B\neq 0\text{ and }R\neq 0\\H\neq 0\text{, }&R=0\text{ and }k=0\text{ and }B\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$R\times 100BH=100k\times \frac{100}{100}$$

Divide 100 by 100 to get 1.

$$R\times 100BH=100k\times 1$$

Multiply 100 and 1 to get 100.

$$R\times 100BH=100k$$

Cancel out 100 on both sides.

$$RBH=k$$

The equation is in standard form.

$$BRH=k$$

Divide both sides by RB.

$$\frac{BRH}{BR}=\frac{k}{BR}$$

Dividing by RB undoes the multiplication by RB.

$$H=\frac{k}{BR}$$

Variable H cannot be equal to 0.

$$H=\frac{k}{BR}\text{, }H\neq 0$$