11.18 is what percent of 22.21 - 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 22.21 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 22.21, so we can write it down as 100%=22.21.
4. We know, that x% equals 11.18 of the output value, so we can write it down as x%=11.18.
5. Now we have two simple equations:
1) 100%=22.21
2) x%=11.18
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%=22.21/11.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.18 is what percent of 22.21

100%/x%=22.21/11.18
(100/x)*x=(22.21/11.18)*x       - we multiply both sides of the equation by x
100=1.9865831842576*x       - we divide both sides of the equation by (1.9865831842576) to get x
100/1.9865831842576=x
50.33768572715=x
x=50.33768572715

now we have:
11.18 is 50.33768572715% of 22.21