137.5 is what percent of 146.2 - 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 146.2 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 146.2, so we can write it down as 100%=146.2.
4. We know, that x% equals 137.5 of the output value, so we can write it down as x%=137.5.
5. Now we have two simple equations:
1) 100%=146.2
2) x%=137.5
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%=146.2/137.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.5 is what percent of 146.2

100%/x%=146.2/137.5
(100/x)*x=(146.2/137.5)*x       - we multiply both sides of the equation by x
100=1.0632727272727*x       - we divide both sides of the equation by (1.0632727272727) to get x
100/1.0632727272727=x
94.049247606019=x
x=94.049247606019

now we have:
137.5 is 94.049247606019% of 146.2