35.2 is what percent of 255.2 - 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 255.2 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 255.2, so we can write it down as 100%=255.2.
4. We know, that x% equals 35.2 of the output value, so we can write it down as x%=35.2.
5. Now we have two simple equations:
1) 100%=255.2
2) x%=35.2
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%=255.2/35.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.2 is what percent of 255.2

100%/x%=255.2/35.2
(100/x)*x=(255.2/35.2)*x       - we multiply both sides of the equation by x
100=7.25*x       - we divide both sides of the equation by (7.25) to get x
100/7.25=x
13.793103448276=x
x=13.793103448276

now we have:
35.2 is 13.793103448276% of 255.2