Solve 3386.15*(100-x)%=2972.37

$$3386.15 \times (100-x) \% =2972.37$$

Solve for x

$$x = \frac{827560}{67723} = 12\frac{14884}{67723} \approx 12.219777624$$

Steps for Solving Linear Equation

Divide both sides by 3386.15.

$$\frac{100-x}{100}=\frac{2972.37}{3386.15}$$

Expand \frac{2972.37}{3386.15} by multiplying both numerator and the denominator by 100.

$$\frac{100-x}{100}=\frac{297237}{338615}$$

Multiply both sides by 100.

$$100-x=\frac{297237}{338615}\times 100$$

Express \frac{297237}{338615}\times 100 as a single fraction.

$$100-x=\frac{297237\times 100}{338615}$$

Multiply 297237 and 100 to get 29723700.

$$100-x=\frac{29723700}{338615}$$

Reduce the fraction \frac{29723700}{338615} to lowest terms by extracting and canceling out 5.

$$100-x=\frac{5944740}{67723}$$

Subtract 100 from both sides.

$$-x=\frac{5944740}{67723}-100$$

Convert 100 to fraction \frac{6772300}{67723}.

$$-x=\frac{5944740}{67723}-\frac{6772300}{67723}$$

Since \frac{5944740}{67723} and \frac{6772300}{67723} have the same denominator, subtract them by subtracting their numerators.

$$-x=\frac{5944740-6772300}{67723}$$

Subtract 6772300 from 5944740 to get -827560.

$$-x=-\frac{827560}{67723}$$

Multiply both sides by -1.

$$x=\frac{827560}{67723}$$