683.3 is what percent of 1038.4 - 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 1038.4 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 1038.4, so we can write it down as 100%=1038.4.
4. We know, that x% equals 683.3 of the output value, so we can write it down as x%=683.3.
5. Now we have two simple equations:
1) 100%=1038.4
2) x%=683.3
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%=1038.4/683.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 683.3 is what percent of 1038.4

100%/x%=1038.4/683.3
(100/x)*x=(1038.4/683.3)*x       - we multiply both sides of the equation by x
100=1.5196838870189*x       - we divide both sides of the equation by (1.5196838870189) to get x
100/1.5196838870189=x
65.803158705701=x
x=65.803158705701

now we have:
683.3 is 65.803158705701% of 1038.4