152.46 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 152.46 of the output value, so we can write it down as x%=152.46.
5. Now we have two simple equations:
1) 100%=640
2) x%=152.46
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%=640/152.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.46 is what percent of 640

100%/x%=640/152.46
(100/x)*x=(640/152.46)*x       - we multiply both sides of the equation by x
100=4.1978223796406*x       - we divide both sides of the equation by (4.1978223796406) to get x
100/4.1978223796406=x
23.821875=x
x=23.821875

now we have:
152.46 is 23.821875% of 640