198.5 is what percent of 240.5 - 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 240.5 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 240.5, so we can write it down as 100%=240.5.
4. We know, that x% equals 198.5 of the output value, so we can write it down as x%=198.5.
5. Now we have two simple equations:
1) 100%=240.5
2) x%=198.5
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%=240.5/198.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 198.5 is what percent of 240.5

100%/x%=240.5/198.5
(100/x)*x=(240.5/198.5)*x       - we multiply both sides of the equation by x
100=1.2115869017632*x       - we divide both sides of the equation by (1.2115869017632) to get x
100/1.2115869017632=x
82.536382536383=x
x=82.536382536383

now we have:
198.5 is 82.536382536383% of 240.5