109.27 is what percent of 132.68 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 132.68 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 132.68, so we can write it down as 100%=132.68.
4. We know, that x% equals 109.27 of the output value, so we can write it down as x%=109.27.
5. Now we have two simple equations:
1) 100%=132.68
2) x%=109.27
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=132.68/109.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.27 is what percent of 132.68

100%/x%=132.68/109.27
(100/x)*x=(132.68/109.27)*x       - we multiply both sides of the equation by x
100=1.2142399560721*x       - we divide both sides of the equation by (1.2142399560721) to get x
100/1.2142399560721=x
82.356044618631=x
x=82.356044618631

now we have:
109.27 is 82.356044618631% of 132.68