64.12 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 64.12 of the output value, so we can write it down as x%=64.12.
5. Now we have two simple equations:
1) 100%=640
2) x%=64.12
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%=640/64.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.12 is what percent of 640

100%/x%=640/64.12
(100/x)*x=(640/64.12)*x       - we multiply both sides of the equation by x
100=9.9812850904554*x       - we divide both sides of the equation by (9.9812850904554) to get x
100/9.9812850904554=x
10.01875=x
x=10.01875

now we have:
64.12 is 10.01875% of 640