10.75 is what percent of 28.15 - 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 28.15 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 28.15, so we can write it down as 100%=28.15.
4. We know, that x% equals 10.75 of the output value, so we can write it down as x%=10.75.
5. Now we have two simple equations:
1) 100%=28.15
2) x%=10.75
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%=28.15/10.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.75 is what percent of 28.15

100%/x%=28.15/10.75
(100/x)*x=(28.15/10.75)*x       - we multiply both sides of the equation by x
100=2.6186046511628*x       - we divide both sides of the equation by (2.6186046511628) to get x
100/2.6186046511628=x
38.188277087034=x
x=38.188277087034

now we have:
10.75 is 38.188277087034% of 28.15