664.84 is what percent of 6431.37 - 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 6431.37 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 6431.37, so we can write it down as 100%=6431.37.
4. We know, that x% equals 664.84 of the output value, so we can write it down as x%=664.84.
5. Now we have two simple equations:
1) 100%=6431.37
2) x%=664.84
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%=6431.37/664.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 664.84 is what percent of 6431.37

100%/x%=6431.37/664.84
(100/x)*x=(6431.37/664.84)*x       - we multiply both sides of the equation by x
100=9.6735605559232*x       - we divide both sides of the equation by (9.6735605559232) to get x
100/9.6735605559232=x
10.337455316674=x
x=10.337455316674

now we have:
664.84 is 10.337455316674% of 6431.37