Solve 200/100%=x/75%

$$\frac { 200 } { 100 \% } = \frac { x } { 75 \% }$$

Solve for x

$$x=150$$

Steps for Solving Linear Equation

Divide 200 by \frac{100}{100} by multiplying 200 by the reciprocal of \frac{100}{100}.

$$\frac{200\times 100}{100}=\frac{x}{\frac{75}{100}}$$

Cancel out 100 and 100.

$$200=\frac{x}{\frac{75}{100}}$$

Divide x by \frac{75}{100} by multiplying x by the reciprocal of \frac{75}{100}.

$$200=\frac{x\times 100}{75}$$

Divide x\times 100 by 75 to get x\times \frac{4}{3}.

$$200=x\times \frac{4}{3}$$

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

$$x\times \frac{4}{3}=200$$

Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.

$$x=200\times \frac{3}{4}$$

Express 200\times \frac{3}{4} as a single fraction.

$$x=\frac{200\times 3}{4}$$

Multiply 200 and 3 to get 600.

$$x=\frac{600}{4}$$

Divide 600 by 4 to get 150.

$$x=150$$