175.5 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 175.5 of the output value, so we can write it down as x%=175.5.
5. Now we have two simple equations:
1) 100%=198
2) x%=175.5
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%=198/175.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.5 is what percent of 198

100%/x%=198/175.5
(100/x)*x=(198/175.5)*x       - we multiply both sides of the equation by x
100=1.1282051282051*x       - we divide both sides of the equation by (1.1282051282051) to get x
100/1.1282051282051=x
88.636363636364=x
x=88.636363636364

now we have:
175.5 is 88.636363636364% of 198