36.58 is what percent of 1003.9 - 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 1003.9 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 1003.9, so we can write it down as 100%=1003.9.
4. We know, that x% equals 36.58 of the output value, so we can write it down as x%=36.58.
5. Now we have two simple equations:
1) 100%=1003.9
2) x%=36.58
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%=1003.9/36.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.58 is what percent of 1003.9

100%/x%=1003.9/36.58
(100/x)*x=(1003.9/36.58)*x       - we multiply both sides of the equation by x
100=27.443958447239*x       - we divide both sides of the equation by (27.443958447239) to get x
100/27.443958447239=x
3.6437892220341=x
x=3.6437892220341

now we have:
36.58 is 3.6437892220341% of 1003.9