103.37 is what percent of 121.16 - 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 121.16 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 121.16, so we can write it down as 100%=121.16.
4. We know, that x% equals 103.37 of the output value, so we can write it down as x%=103.37.
5. Now we have two simple equations:
1) 100%=121.16
2) x%=103.37
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%=121.16/103.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.37 is what percent of 121.16

100%/x%=121.16/103.37
(100/x)*x=(121.16/103.37)*x       - we multiply both sides of the equation by x
100=1.1721002225017*x       - we divide both sides of the equation by (1.1721002225017) to get x
100/1.1721002225017=x
85.316936282602=x
x=85.316936282602

now we have:
103.37 is 85.316936282602% of 121.16