159.74 is what percent of 198.5 - 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 198.5 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 198.5, so we can write it down as 100%=198.5.
4. We know, that x% equals 159.74 of the output value, so we can write it down as x%=159.74.
5. Now we have two simple equations:
1) 100%=198.5
2) x%=159.74
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%=198.5/159.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.74 is what percent of 198.5

100%/x%=198.5/159.74
(100/x)*x=(198.5/159.74)*x       - we multiply both sides of the equation by x
100=1.2426442969826*x       - we divide both sides of the equation by (1.2426442969826) to get x
100/1.2426442969826=x
80.47355163728=x
x=80.47355163728

now we have:
159.74 is 80.47355163728% of 198.5