49.99 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 49.99 of the output value, so we can write it down as x%=49.99.
5. Now we have two simple equations:
1) 100%=640
2) x%=49.99
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%=640/49.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.99 is what percent of 640

100%/x%=640/49.99
(100/x)*x=(640/49.99)*x       - we multiply both sides of the equation by x
100=12.802560512102*x       - we divide both sides of the equation by (12.802560512102) to get x
100/12.802560512102=x
7.8109375=x
x=7.8109375

now we have:
49.99 is 7.8109375% of 640