2704.92 is what percent of 36642 - 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 36642 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 36642, so we can write it down as 100%=36642.
4. We know, that x% equals 2704.92 of the output value, so we can write it down as x%=2704.92.
5. Now we have two simple equations:
1) 100%=36642
2) x%=2704.92
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%=36642/2704.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2704.92 is what percent of 36642

100%/x%=36642/2704.92
(100/x)*x=(36642/2704.92)*x       - we multiply both sides of the equation by x
100=13.54642651169*x       - we divide both sides of the equation by (13.54642651169) to get x
100/13.54642651169=x
7.3820206320616=x
x=7.3820206320616

now we have:
2704.92 is 7.3820206320616% of 36642