11.25 is what percent of 23 - 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 23 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 23, so we can write it down as 100%=23.
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%=23
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%=23/11.25
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 23

100%/x%=23/11.25
(100/x)*x=(23/11.25)*x       - we multiply both sides of the equation by x
100=2.0444444444444*x       - we divide both sides of the equation by (2.0444444444444) to get x
100/2.0444444444444=x
48.913043478261=x
x=48.913043478261

now we have:
11.25 is 48.913043478261% of 23