655.2 is what percent of 3967.6 - 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 3967.6 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 3967.6, so we can write it down as 100%=3967.6.
4. We know, that x% equals 655.2 of the output value, so we can write it down as x%=655.2.
5. Now we have two simple equations:
1) 100%=3967.6
2) x%=655.2
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%=3967.6/655.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 655.2 is what percent of 3967.6

100%/x%=3967.6/655.2
(100/x)*x=(3967.6/655.2)*x       - we multiply both sides of the equation by x
100=6.0555555555556*x       - we divide both sides of the equation by (6.0555555555556) to get x
100/6.0555555555556=x
16.51376146789=x
x=16.51376146789

now we have:
655.2 is 16.51376146789% of 3967.6