685.88 is what percent of 3802 - 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 3802 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 3802, so we can write it down as 100%=3802.
4. We know, that x% equals 685.88 of the output value, so we can write it down as x%=685.88.
5. Now we have two simple equations:
1) 100%=3802
2) x%=685.88
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%=3802/685.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 685.88 is what percent of 3802

100%/x%=3802/685.88
(100/x)*x=(3802/685.88)*x       - we multiply both sides of the equation by x
100=5.5432437161019*x       - we divide both sides of the equation by (5.5432437161019) to get x
100/5.5432437161019=x
18.039978958443=x
x=18.039978958443

now we have:
685.88 is 18.039978958443% of 3802