169.3 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 169.3 of the output value, so we can write it down as x%=169.3.
5. Now we have two simple equations:
1) 100%=198
2) x%=169.3
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%=198/169.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 169.3 is what percent of 198

100%/x%=198/169.3
(100/x)*x=(198/169.3)*x       - we multiply both sides of the equation by x
100=1.1695215593621*x       - we divide both sides of the equation by (1.1695215593621) to get x
100/1.1695215593621=x
85.505050505051=x
x=85.505050505051

now we have:
169.3 is 85.505050505051% of 198