36.25 is what percent of 1875.17 - 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 1875.17 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 1875.17, so we can write it down as 100%=1875.17.
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%=1875.17
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%=1875.17/36.25
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 1875.17

100%/x%=1875.17/36.25
(100/x)*x=(1875.17/36.25)*x       - we multiply both sides of the equation by x
100=51.728827586207*x       - we divide both sides of the equation by (51.728827586207) to get x
100/51.728827586207=x
1.9331580603359=x
x=1.9331580603359

now we have:
36.25 is 1.9331580603359% of 1875.17