36.25 is what percent of 129.25 - 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 129.25 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 129.25, so we can write it down as 100%=129.25.
4. We know, that x% equals 36.25 of the output value, so we can write it down as x%=36.25.
5. Now we have two simple equations:
1) 100%=129.25
2) x%=36.25
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%=129.25/36.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.25 is what percent of 129.25

100%/x%=129.25/36.25
(100/x)*x=(129.25/36.25)*x       - we multiply both sides of the equation by x
100=3.5655172413793*x       - we divide both sides of the equation by (3.5655172413793) to get x
100/3.5655172413793=x
28.046421663443=x
x=28.046421663443

now we have:
36.25 is 28.046421663443% of 129.25