11 is what percent of 11.833 - 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 11.833 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 11.833, so we can write it down as 100%=11.833.
4. We know, that x% equals 11 of the output value, so we can write it down as x%=11.
5. Now we have two simple equations:
1) 100%=11.833
2) x%=11
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%=11.833/11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11 is what percent of 11.833

100%/x%=11.833/11
(100/x)*x=(11.833/11)*x       - we multiply both sides of the equation by x
100=1.0757272727273*x       - we divide both sides of the equation by (1.0757272727273) to get x
100/1.0757272727273=x
92.960365080707=x
x=92.960365080707

now we have:
11 is 92.960365080707% of 11.833