144.68 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 144.68 of the output value, so we can write it down as x%=144.68.
5. Now we have two simple equations:
1) 100%=640
2) x%=144.68
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%=640/144.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.68 is what percent of 640

100%/x%=640/144.68
(100/x)*x=(640/144.68)*x       - we multiply both sides of the equation by x
100=4.423555432679*x       - we divide both sides of the equation by (4.423555432679) to get x
100/4.423555432679=x
22.60625=x
x=22.60625

now we have:
144.68 is 22.60625% of 640