166.27 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 166.27 of the output value, so we can write it down as x%=166.27.
5. Now we have two simple equations:
1) 100%=198
2) x%=166.27
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%=198/166.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.27 is what percent of 198

100%/x%=198/166.27
(100/x)*x=(198/166.27)*x       - we multiply both sides of the equation by x
100=1.1908341853612*x       - we divide both sides of the equation by (1.1908341853612) to get x
100/1.1908341853612=x
83.974747474747=x
x=83.974747474747

now we have:
166.27 is 83.974747474747% of 198