11.26 is what percent of 85.09 - 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 85.09 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 85.09, so we can write it down as 100%=85.09.
4. We know, that x% equals 11.26 of the output value, so we can write it down as x%=11.26.
5. Now we have two simple equations:
1) 100%=85.09
2) x%=11.26
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%=85.09/11.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.26 is what percent of 85.09

100%/x%=85.09/11.26
(100/x)*x=(85.09/11.26)*x       - we multiply both sides of the equation by x
100=7.556838365897*x       - we divide both sides of the equation by (7.556838365897) to get x
100/7.556838365897=x
13.233047361617=x
x=13.233047361617

now we have:
11.26 is 13.233047361617% of 85.09