108.37 is what percent of 120.37 - 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 120.37 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 120.37, so we can write it down as 100%=120.37.
4. We know, that x% equals 108.37 of the output value, so we can write it down as x%=108.37.
5. Now we have two simple equations:
1) 100%=120.37
2) x%=108.37
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%=120.37/108.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.37 is what percent of 120.37

100%/x%=120.37/108.37
(100/x)*x=(120.37/108.37)*x       - we multiply both sides of the equation by x
100=1.11073175233*x       - we divide both sides of the equation by (1.11073175233) to get x
100/1.11073175233=x
90.030738556119=x
x=90.030738556119

now we have:
108.37 is 90.030738556119% of 120.37