88.12 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 88.12 of the output value, so we can write it down as x%=88.12.
5. Now we have two simple equations:
1) 100%=640
2) x%=88.12
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%=640/88.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.12 is what percent of 640

100%/x%=640/88.12
(100/x)*x=(640/88.12)*x       - we multiply both sides of the equation by x
100=7.2628234226055*x       - we divide both sides of the equation by (7.2628234226055) to get x
100/7.2628234226055=x
13.76875=x
x=13.76875

now we have:
88.12 is 13.76875% of 640