3798.88 is what percent of 9683.8 - 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 9683.8 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 9683.8, so we can write it down as 100%=9683.8.
4. We know, that x% equals 3798.88 of the output value, so we can write it down as x%=3798.88.
5. Now we have two simple equations:
1) 100%=9683.8
2) x%=3798.88
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%=9683.8/3798.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3798.88 is what percent of 9683.8

100%/x%=9683.8/3798.88
(100/x)*x=(9683.8/3798.88)*x       - we multiply both sides of the equation by x
100=2.5491197405551*x       - we divide both sides of the equation by (2.5491197405551) to get x
100/2.5491197405551=x
39.229228195543=x
x=39.229228195543

now we have:
3798.88 is 39.229228195543% of 9683.8