35.16 is what percent of 254.88 - 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 254.88 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 254.88, so we can write it down as 100%=254.88.
4. We know, that x% equals 35.16 of the output value, so we can write it down as x%=35.16.
5. Now we have two simple equations:
1) 100%=254.88
2) x%=35.16
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%=254.88/35.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.16 is what percent of 254.88

100%/x%=254.88/35.16
(100/x)*x=(254.88/35.16)*x       - we multiply both sides of the equation by x
100=7.2491467576792*x       - we divide both sides of the equation by (7.2491467576792) to get x
100/7.2491467576792=x
13.79472693032=x
x=13.79472693032

now we have:
35.16 is 13.79472693032% of 254.88