11 is what percent of 40.1 - 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 40.1 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 40.1, so we can write it down as 100%=40.1.
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%=40.1
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%=40.1/11
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 40.1

100%/x%=40.1/11
(100/x)*x=(40.1/11)*x       - we multiply both sides of the equation by x
100=3.6454545454545*x       - we divide both sides of the equation by (3.6454545454545) to get x
100/3.6454545454545=x
27.431421446384=x
x=27.431421446384

now we have:
11 is 27.431421446384% of 40.1