63.96 is what percent of 640 - 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 640 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 640, so we can write it down as 100%=640.
4. We know, that x% equals 63.96 of the output value, so we can write it down as x%=63.96.
5. Now we have two simple equations:
1) 100%=640
2) x%=63.96
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%=640/63.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.96 is what percent of 640

100%/x%=640/63.96
(100/x)*x=(640/63.96)*x       - we multiply both sides of the equation by x
100=10.006253908693*x       - we divide both sides of the equation by (10.006253908693) to get x
100/10.006253908693=x
9.99375=x
x=9.99375

now we have:
63.96 is 9.99375% of 640