118.2 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 118.2 of the output value, so we can write it down as x%=118.2.
5. Now we have two simple equations:
1) 100%=198
2) x%=118.2
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%=198/118.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.2 is what percent of 198

100%/x%=198/118.2
(100/x)*x=(198/118.2)*x       - we multiply both sides of the equation by x
100=1.6751269035533*x       - we divide both sides of the equation by (1.6751269035533) to get x
100/1.6751269035533=x
59.69696969697=x
x=59.69696969697

now we have:
118.2 is 59.69696969697% of 198