11.1 is what percent of 468 - 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 468 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 468, so we can write it down as 100%=468.
4. We know, that x% equals 11.1 of the output value, so we can write it down as x%=11.1.
5. Now we have two simple equations:
1) 100%=468
2) x%=11.1
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%=468/11.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.1 is what percent of 468

100%/x%=468/11.1
(100/x)*x=(468/11.1)*x       - we multiply both sides of the equation by x
100=42.162162162162*x       - we divide both sides of the equation by (42.162162162162) to get x
100/42.162162162162=x
2.3717948717949=x
x=2.3717948717949

now we have:
11.1 is 2.3717948717949% of 468