28.14 is what percent of 108.28 - 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 108.28 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 108.28, so we can write it down as 100%=108.28.
4. We know, that x% equals 28.14 of the output value, so we can write it down as x%=28.14.
5. Now we have two simple equations:
1) 100%=108.28
2) x%=28.14
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%=108.28/28.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.14 is what percent of 108.28

100%/x%=108.28/28.14
(100/x)*x=(108.28/28.14)*x       - we multiply both sides of the equation by x
100=3.8479033404407*x       - we divide both sides of the equation by (3.8479033404407) to get x
100/3.8479033404407=x
25.988178795715=x
x=25.988178795715

now we have:
28.14 is 25.988178795715% of 108.28