255.2 is what percent of 18235.31 - 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 18235.31 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 18235.31, so we can write it down as 100%=18235.31.
4. We know, that x% equals 255.2 of the output value, so we can write it down as x%=255.2.
5. Now we have two simple equations:
1) 100%=18235.31
2) x%=255.2
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%=18235.31/255.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.2 is what percent of 18235.31

100%/x%=18235.31/255.2
(100/x)*x=(18235.31/255.2)*x       - we multiply both sides of the equation by x
100=71.454976489028*x       - we divide both sides of the equation by (71.454976489028) to get x
100/71.454976489028=x
1.3994826520635=x
x=1.3994826520635

now we have:
255.2 is 1.3994826520635% of 18235.31