744.06 is what percent of 6399.6 - 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 6399.6 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 6399.6, so we can write it down as 100%=6399.6.
4. We know, that x% equals 744.06 of the output value, so we can write it down as x%=744.06.
5. Now we have two simple equations:
1) 100%=6399.6
2) x%=744.06
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%=6399.6/744.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 744.06 is what percent of 6399.6

100%/x%=6399.6/744.06
(100/x)*x=(6399.6/744.06)*x       - we multiply both sides of the equation by x
100=8.6009192807032*x       - we divide both sides of the equation by (8.6009192807032) to get x
100/8.6009192807032=x
11.62666416651=x
x=11.62666416651

now we have:
744.06 is 11.62666416651% of 6399.6