11 is what percent of 121.1 - 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 121.1 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 121.1, so we can write it down as 100%=121.1.
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%=121.1
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%=121.1/11
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 121.1

100%/x%=121.1/11
(100/x)*x=(121.1/11)*x       - we multiply both sides of the equation by x
100=11.009090909091*x       - we divide both sides of the equation by (11.009090909091) to get x
100/11.009090909091=x
9.083402146986=x
x=9.083402146986

now we have:
11 is 9.083402146986% of 121.1