153.5 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 153.5 of the output value, so we can write it down as x%=153.5.
5. Now we have two simple equations:
1) 100%=198
2) x%=153.5
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%=198/153.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 153.5 is what percent of 198

100%/x%=198/153.5
(100/x)*x=(198/153.5)*x       - we multiply both sides of the equation by x
100=1.2899022801303*x       - we divide both sides of the equation by (1.2899022801303) to get x
100/1.2899022801303=x
77.525252525253=x
x=77.525252525253

now we have:
153.5 is 77.525252525253% of 198