Solve 115600=90000(1+r/100)

$$115600 = 90000 ( 1 + \frac { r } { 100 } )$$

Solve for r

$$r = \frac{256}{9} = 28\frac{4}{9} \approx 28.444444444$$

Steps for Solving Linear Equation

Divide both sides by 90000.

$$\frac{115600}{90000}=1+\frac{r}{100}$$

Reduce the fraction \frac{115600}{90000} to lowest terms by extracting and canceling out 400.

$$\frac{289}{225}=1+\frac{r}{100}$$

Multiply both sides of the equation by 900, the least common multiple of 225,100.

$$1156=900+9r$$

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

$$900+9r=1156$$

Subtract 900 from both sides.

$$9r=1156-900$$

Subtract 900 from 1156 to get 256.

$$9r=256$$

Divide both sides by 9.

$$r=\frac{256}{9}$$