11.5 is what percent of 11.25 - 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 11.25 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 11.25, so we can write it down as 100%=11.25.
4. We know, that x% equals 11.5 of the output value, so we can write it down as x%=11.5.
5. Now we have two simple equations:
1) 100%=11.25
2) x%=11.5
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%=11.25/11.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.5 is what percent of 11.25

100%/x%=11.25/11.5
(100/x)*x=(11.25/11.5)*x       - we multiply both sides of the equation by x
100=0.97826086956522*x       - we divide both sides of the equation by (0.97826086956522) to get x
100/0.97826086956522=x
102.22222222222=x
x=102.22222222222

now we have:
11.5 is 102.22222222222% of 11.25