11.28 is what percent of 88.09 - 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 88.09 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 88.09, so we can write it down as 100%=88.09.
4. We know, that x% equals 11.28 of the output value, so we can write it down as x%=11.28.
5. Now we have two simple equations:
1) 100%=88.09
2) x%=11.28
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%=88.09/11.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.28 is what percent of 88.09

100%/x%=88.09/11.28
(100/x)*x=(88.09/11.28)*x       - we multiply both sides of the equation by x
100=7.8093971631206*x       - we divide both sides of the equation by (7.8093971631206) to get x
100/7.8093971631206=x
12.805085707799=x
x=12.805085707799

now we have:
11.28 is 12.805085707799% of 88.09