11.5 is what percent of 122.25 - 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 122.25 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 122.25, so we can write it down as 100%=122.25.
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%=122.25
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%=122.25/11.5
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 122.25

100%/x%=122.25/11.5
(100/x)*x=(122.25/11.5)*x       - we multiply both sides of the equation by x
100=10.630434782609*x       - we divide both sides of the equation by (10.630434782609) to get x
100/10.630434782609=x
9.4069529652352=x
x=9.4069529652352

now we have:
11.5 is 9.4069529652352% of 122.25