125.2 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 125.2 of the output value, so we can write it down as x%=125.2.
5. Now we have two simple equations:
1) 100%=640
2) x%=125.2
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%=640/125.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.2 is what percent of 640

100%/x%=640/125.2
(100/x)*x=(640/125.2)*x       - we multiply both sides of the equation by x
100=5.111821086262*x       - we divide both sides of the equation by (5.111821086262) to get x
100/5.111821086262=x
19.5625=x
x=19.5625

now we have:
125.2 is 19.5625% of 640