9.69 is what percent of 81.59 - 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 81.59 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 81.59, so we can write it down as 100%=81.59.
4. We know, that x% equals 9.69 of the output value, so we can write it down as x%=9.69.
5. Now we have two simple equations:
1) 100%=81.59
2) x%=9.69
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%=81.59/9.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.69 is what percent of 81.59

100%/x%=81.59/9.69
(100/x)*x=(81.59/9.69)*x       - we multiply both sides of the equation by x
100=8.4200206398349*x       - we divide both sides of the equation by (8.4200206398349) to get x
100/8.4200206398349=x
11.876455447972=x
x=11.876455447972

now we have:
9.69 is 11.876455447972% of 81.59