29.42 is what percent of 222.198 - 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 222.198 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 222.198, so we can write it down as 100%=222.198.
4. We know, that x% equals 29.42 of the output value, so we can write it down as x%=29.42.
5. Now we have two simple equations:
1) 100%=222.198
2) x%=29.42
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%=222.198/29.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.42 is what percent of 222.198

100%/x%=222.198/29.42
(100/x)*x=(222.198/29.42)*x       - we multiply both sides of the equation by x
100=7.5526172671652*x       - we divide both sides of the equation by (7.5526172671652) to get x
100/7.5526172671652=x
13.24044320831=x
x=13.24044320831

now we have:
29.42 is 13.24044320831% of 222.198