220.97 is what percent of 1198 - 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 1198 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 1198, so we can write it down as 100%=1198.
4. We know, that x% equals 220.97 of the output value, so we can write it down as x%=220.97.
5. Now we have two simple equations:
1) 100%=1198
2) x%=220.97
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%=1198/220.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 220.97 is what percent of 1198

100%/x%=1198/220.97
(100/x)*x=(1198/220.97)*x       - we multiply both sides of the equation by x
100=5.4215504367109*x       - we divide both sides of the equation by (5.4215504367109) to get x
100/5.4215504367109=x
18.444908180301=x
x=18.444908180301

now we have:
220.97 is 18.444908180301% of 1198