63.88 is what percent of 255.52 - 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 255.52 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 255.52, so we can write it down as 100%=255.52.
4. We know, that x% equals 63.88 of the output value, so we can write it down as x%=63.88.
5. Now we have two simple equations:
1) 100%=255.52
2) x%=63.88
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%=255.52/63.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.88 is what percent of 255.52

100%/x%=255.52/63.88
(100/x)*x=(255.52/63.88)*x       - we multiply both sides of the equation by x
100=4*x       - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25

now we have:
63.88 is 25% of 255.52