36.09 is what percent of 222.5 - 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 222.5 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 222.5, so we can write it down as 100%=222.5.
4. We know, that x% equals 36.09 of the output value, so we can write it down as x%=36.09.
5. Now we have two simple equations:
1) 100%=222.5
2) x%=36.09
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%=222.5/36.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.09 is what percent of 222.5

100%/x%=222.5/36.09
(100/x)*x=(222.5/36.09)*x       - we multiply both sides of the equation by x
100=6.1651426988085*x       - we divide both sides of the equation by (6.1651426988085) to get x
100/6.1651426988085=x
16.220224719101=x
x=16.220224719101

now we have:
36.09 is 16.220224719101% of 222.5