120.05 is what percent of 108.27 - 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 108.27 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 108.27, so we can write it down as 100%=108.27.
4. We know, that x% equals 120.05 of the output value, so we can write it down as x%=120.05.
5. Now we have two simple equations:
1) 100%=108.27
2) x%=120.05
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%=108.27/120.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.05 is what percent of 108.27

100%/x%=108.27/120.05
(100/x)*x=(108.27/120.05)*x       - we multiply both sides of the equation by x
100=0.90187421907539*x       - we divide both sides of the equation by (0.90187421907539) to get x
100/0.90187421907539=x
110.88020689018=x
x=110.88020689018

now we have:
120.05 is 110.88020689018% of 108.27