11.25 is what percent of 28.5 - 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 28.5 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 28.5, so we can write it down as 100%=28.5.
4. We know, that x% equals 11.25 of the output value, so we can write it down as x%=11.25.
5. Now we have two simple equations:
1) 100%=28.5
2) x%=11.25
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%=28.5/11.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.25 is what percent of 28.5

100%/x%=28.5/11.25
(100/x)*x=(28.5/11.25)*x       - we multiply both sides of the equation by x
100=2.5333333333333*x       - we divide both sides of the equation by (2.5333333333333) to get x
100/2.5333333333333=x
39.473684210526=x
x=39.473684210526

now we have:
11.25 is 39.473684210526% of 28.5