41.8=n100⋅44

Rewrite the equation as n100⋅44=41.8.

n100⋅44=41.8

Combine n100 and 44.

n⋅44100=41.8

Divide each term in n⋅44100=41.8 by 44.

n⋅4410044=41.844

Simplify n⋅4410044.

Cancel the common factor of 44 and 100.

Factor 4 out of n⋅44.

4(n⋅11)10044=41.844

Cancel the common factors.

Factor 4 out of 100.

4(n⋅11)4(25)44=41.844

Cancel the common factor.

4(n⋅11)4⋅2544=41.844

Rewrite the expression.

n⋅112544=41.844

n⋅112544=41.844

n⋅112544=41.844

Multiply the numerator by the reciprocal of the denominator.

n⋅1125⋅144=41.844

Cancel the common factor of 11.

Factor 11 out of n⋅11.

11⋅n25⋅144=41.844

Factor 11 out of 44.

11⋅n25⋅111(4)=41.844

Cancel the common factor.

11⋅n25⋅111⋅4=41.844

Rewrite the expression.

n25⋅14=41.844

n25⋅14=41.844

Multiply n25 and 14.

n25⋅4=41.844

Multiply 25 by 4.

n100=41.844

n100=41.844

Divide 41.8 by 44.

n100=0.95

n100=0.95

Multiply both sides of the equation by 100.

100⋅n100=100⋅0.95

Cancel the common factor of 100.

Cancel the common factor.

100⋅n100=100⋅0.95

Rewrite the expression.

n=100⋅0.95

n=100⋅0.95

Multiply 100 by 0.95.

n=95

n=95

Solve for n 41.8=n/100*44