# Solve for n 110=100(1+(5(n))/100) 110=100(1+5(n)100)
Rewrite the equation as 100(1+5(n)100)=110.
100(1+5(n)100)=110
Simplify.
Cancel the common factors.
Factor 5 out of 100.
100(1+5n5⋅20)=110
Cancel the common factor.
100(1+5n5⋅20)=110
Rewrite the expression.
100(1+n20)=110
100(1+n20)=110
Apply the distributive property.
100⋅1+100n20=110
Multiply 100 by 1.
100+100n20=110
Cancel the common factor of 20.
Factor 20 out of 100.
100+20(5)n20=110
Cancel the common factor.
100+20⋅5n20=110
Rewrite the expression.
100+5n=110
100+5n=110
100+5n=110
Divide each term by 100 and simplify.
Divide each term in 100+5n=110 by 100.
100+5n100=110100
Cancel the common factor of 100+5n and 100.
Factor 5 out of 100.
5⋅20+5n100=110100
Factor 5 out of 5n.
5⋅20+5(n)100=110100
Factor 5 out of 5⋅20+5(n).
5⋅(20+n)100=110100
Cancel the common factors.
Factor 5 out of 100.
5⋅(20+n)5(20)=110100
Cancel the common factor.
5⋅(20+n)5⋅20=110100
Rewrite the expression.
20+n20=110100
20+n20=110100
20+n20=110100
Cancel the common factor of 110 and 100.
Factor 10 out of 110.
20+n20=10(11)100
Cancel the common factors.
Factor 10 out of 100.
20+n20=10⋅1110⋅10
Cancel the common factor.
20+n20=10⋅1110⋅10
Rewrite the expression.
20+n20=1110
20+n20=1110
20+n20=1110
20+n20=1110
Multiply both sides of the equation by 20.
20⋅20+n20=20⋅1110
Simplify both sides of the equation.
Cancel the common factor of 20.
Cancel the common factor.
20⋅20+n20=20⋅1110
Rewrite the expression.
20+n=20⋅1110
20+n=20⋅1110
Simplify 20⋅1110.
Cancel the common factor of 10.
Factor 10 out of 20.
20+n=10(2)⋅1110
Cancel the common factor.
20+n=10⋅2⋅1110
Rewrite the expression.
20+n=2⋅11
20+n=2⋅11
Multiply 2 by 11.
20+n=22
20+n=22
20+n=22
Move all terms not containing n to the right side of the equation.
Subtract 20 from both sides of the equation.
n=22-20
Subtract 20 from 22.
n=2
n=2
Solve for n 110=100(1+(5(n))/100)

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