11.11 is what percent of 50 - 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 50 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 50, so we can write it down as 100%=50.
4. We know, that x% equals 11.11 of the output value, so we can write it down as x%=11.11.
5. Now we have two simple equations:
1) 100%=50
2) x%=11.11
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%=50/11.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.11 is what percent of 50

100%/x%=50/11.11
(100/x)*x=(50/11.11)*x       - we multiply both sides of the equation by x
100=4.5004500450045*x       - we divide both sides of the equation by (4.5004500450045) to get x
100/4.5004500450045=x
22.22=x
x=22.22

now we have:
11.11 is 22.22% of 50