18.16 is what percent of 519.52 - 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 519.52 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 519.52, so we can write it down as 100%=519.52.
4. We know, that x% equals 18.16 of the output value, so we can write it down as x%=18.16.
5. Now we have two simple equations:
1) 100%=519.52
2) x%=18.16
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%=519.52/18.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.16 is what percent of 519.52

100%/x%=519.52/18.16
(100/x)*x=(519.52/18.16)*x       - we multiply both sides of the equation by x
100=28.607929515419*x       - we divide both sides of the equation by (28.607929515419) to get x
100/28.607929515419=x
3.4955343393902=x
x=3.4955343393902

now we have:
18.16 is 3.4955343393902% of 519.52