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100\times 1.0111\left(1+x\right)=115.99
Add 1 and 0.0111 to get 1.0111.
101.11\left(1+x\right)=115.99
Multiply 100 and 1.0111 to get 101.11.
101.11+101.11x=115.99
Use the distributive property to multiply 101.11 by 1+x.
101.11x=115.99-101.11
Subtract 101.11 from both sides.
101.11x=14.88
Subtract 101.11 from 115.99 to get 14.88.
x=\frac{14.88}{101.11}
Divide both sides by 101.11.
x=\frac{1488}{10111}
Expand \frac{14.88}{101.11} by multiplying both numerator and the denominator by 100.