11.02 is what percent of 198.83 - 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 198.83 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 198.83, so we can write it down as 100%=198.83.
4. We know, that x% equals 11.02 of the output value, so we can write it down as x%=11.02.
5. Now we have two simple equations:
1) 100%=198.83
2) x%=11.02
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%=198.83/11.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.02 is what percent of 198.83

100%/x%=198.83/11.02
(100/x)*x=(198.83/11.02)*x       - we multiply both sides of the equation by x
100=18.042649727768*x       - we divide both sides of the equation by (18.042649727768) to get x
100/18.042649727768=x
5.5424231755771=x
x=5.5424231755771

now we have:
11.02 is 5.5424231755771% of 198.83