3683.82 is what percent of 9722.88 - 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 9722.88 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 9722.88, so we can write it down as 100%=9722.88.
4. We know, that x% equals 3683.82 of the output value, so we can write it down as x%=3683.82.
5. Now we have two simple equations:
1) 100%=9722.88
2) x%=3683.82
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%=9722.88/3683.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3683.82 is what percent of 9722.88

100%/x%=9722.88/3683.82
(100/x)*x=(9722.88/3683.82)*x       - we multiply both sides of the equation by x
100=2.6393471993746*x       - we divide both sides of the equation by (2.6393471993746) to get x
100/2.6393471993746=x
37.888156595577=x
x=37.888156595577

now we have:
3683.82 is 37.888156595577% of 9722.88