11.81 is what percent of 122.21 - 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 122.21 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 122.21, so we can write it down as 100%=122.21.
4. We know, that x% equals 11.81 of the output value, so we can write it down as x%=11.81.
5. Now we have two simple equations:
1) 100%=122.21
2) x%=11.81
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%=122.21/11.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.81 is what percent of 122.21

100%/x%=122.21/11.81
(100/x)*x=(122.21/11.81)*x       - we multiply both sides of the equation by x
100=10.348010160881*x       - we divide both sides of the equation by (10.348010160881) to get x
100/10.348010160881=x
9.6636936420915=x
x=9.6636936420915

now we have:
11.81 is 9.6636936420915% of 122.21