362.08 is what percent of 36208.04 - 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 36208.04 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 36208.04, so we can write it down as 100%=36208.04.
4. We know, that x% equals 362.08 of the output value, so we can write it down as x%=362.08.
5. Now we have two simple equations:
1) 100%=36208.04
2) x%=362.08
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%=36208.04/362.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 362.08 is what percent of 36208.04

100%/x%=36208.04/362.08
(100/x)*x=(36208.04/362.08)*x       - we multiply both sides of the equation by x
100=100.00011047282*x       - we divide both sides of the equation by (100.00011047282) to get x
100/100.00011047282=x
0.99999889527298=x
x=0.99999889527298

now we have:
362.08 is 0.99999889527298% of 36208.04