320.33 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 320.33 of the output value, so we can write it down as x%=320.33.
5. Now we have two simple equations:
1) 100%=640
2) x%=320.33
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%=640/320.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 320.33 is what percent of 640

100%/x%=640/320.33
(100/x)*x=(640/320.33)*x       - we multiply both sides of the equation by x
100=1.997939624762*x       - we divide both sides of the equation by (1.997939624762) to get x
100/1.997939624762=x
50.0515625=x
x=50.0515625

now we have:
320.33 is 50.0515625% of 640