28.16 is what percent of 112.62 - 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 112.62 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 112.62, so we can write it down as 100%=112.62.
4. We know, that x% equals 28.16 of the output value, so we can write it down as x%=28.16.
5. Now we have two simple equations:
1) 100%=112.62
2) x%=28.16
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%=112.62/28.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.16 is what percent of 112.62

100%/x%=112.62/28.16
(100/x)*x=(112.62/28.16)*x       - we multiply both sides of the equation by x
100=3.9992897727273*x       - we divide both sides of the equation by (3.9992897727273) to get x
100/3.9992897727273=x
25.004439708755=x
x=25.004439708755

now we have:
28.16 is 25.004439708755% of 112.62