3.37 is what percent of 122.5 - 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 122.5 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 122.5, so we can write it down as 100%=122.5.
4. We know, that x% equals 3.37 of the output value, so we can write it down as x%=3.37.
5. Now we have two simple equations:
1) 100%=122.5
2) x%=3.37
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%=122.5/3.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.37 is what percent of 122.5

100%/x%=122.5/3.37
(100/x)*x=(122.5/3.37)*x       - we multiply both sides of the equation by x
100=36.350148367953*x       - we divide both sides of the equation by (36.350148367953) to get x
100/36.350148367953=x
2.7510204081633=x
x=2.7510204081633

now we have:
3.37 is 2.7510204081633% of 122.5