Solve s-c/s*100%=40%

$$\frac { s - c } { s } \times 100 \% = 40 \%$$

Solve for c

$$c=\frac{3s}{5}$$

$$s\neq 0$$

Steps for Solving Linear Equation

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

$$100\left(s-c\right)\times \frac{100}{100}=s\times 40$$

Divide 100 by 100 to get 1.

$$100\left(s-c\right)\times 1=s\times 40$$

Multiply 100 and 1 to get 100.

$$100\left(s-c\right)=s\times 40$$

Use the distributive property to multiply 100 by s-c.

$$100s-100c=s\times 40$$

Subtract 100s from both sides.

$$-100c=s\times 40-100s$$

Combine s\times 40 and -100s to get -60s.

$$-100c=-60s$$

Divide both sides by -100.

$$\frac{-100c}{-100}=-\frac{60s}{-100}$$

Dividing by -100 undoes the multiplication by -100.

$$c=-\frac{60s}{-100}$$

Divide -60s by -100.

$$c=\frac{3s}{5}$$

Solve for s

$$s=\frac{5c}{3}$$

$$c\neq 0$$

Steps for Solving Linear Equation

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

$$100\left(s-c\right)\times \frac{100}{100}=s\times 40$$

Divide 100 by 100 to get 1.

$$100\left(s-c\right)\times 1=s\times 40$$

Multiply 100 and 1 to get 100.

$$100\left(s-c\right)=s\times 40$$

Use the distributive property to multiply 100 by s-c.

$$100s-100c=s\times 40$$

Subtract s\times 40 from both sides.

$$100s-100c-s\times 40=0$$

Combine 100s and -s\times 40 to get 60s.

$$60s-100c=0$$

Add 100c to both sides. Anything plus zero gives itself.

$$60s=100c$$

Divide both sides by 60.

$$\frac{60s}{60}=\frac{100c}{60}$$

Dividing by 60 undoes the multiplication by 60.

$$s=\frac{100c}{60}$$

Divide 100c by 60.

$$s=\frac{5c}{3}$$

Variable s cannot be equal to 0.

$$s=\frac{5c}{3}\text{, }s\neq 0$$