9.69 is what percent of 11 - 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 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, so we can write it down as 100%=11.
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%=11
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%=11/9.69
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 11

100%/x%=11/9.69
(100/x)*x=(11/9.69)*x       - we multiply both sides of the equation by x
100=1.1351909184727*x       - we divide both sides of the equation by (1.1351909184727) to get x
100/1.1351909184727=x
88.090909090909=x
x=88.090909090909

now we have:
9.69 is 88.090909090909% of 11