209.99 is what percent of 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 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 198, so we can write it down as 100%=198.
4. We know, that x% equals 209.99 of the output value, so we can write it down as x%=209.99.
5. Now we have two simple equations:
1) 100%=198
2) x%=209.99
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%=198/209.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.99 is what percent of 198

100%/x%=198/209.99
(100/x)*x=(198/209.99)*x       - we multiply both sides of the equation by x
100=0.94290204295443*x       - we divide both sides of the equation by (0.94290204295443) to get x
100/0.94290204295443=x
106.05555555556=x
x=106.05555555556

now we have:
209.99 is 106.05555555556% of 198