0.22 is what percent of 11.518 - 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 11.518 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 11.518, so we can write it down as 100%=11.518.
4. We know, that x% equals 0.22 of the output value, so we can write it down as x%=0.22.
5. Now we have two simple equations:
1) 100%=11.518
2) x%=0.22
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%=11.518/0.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.22 is what percent of 11.518

100%/x%=11.518/0.22
(100/x)*x=(11.518/0.22)*x       - we multiply both sides of the equation by x
100=52.354545454545*x       - we divide both sides of the equation by (52.354545454545) to get x
100/52.354545454545=x
1.9100538287897=x
x=1.9100538287897

now we have:
0.22 is 1.9100538287897% of 11.518