198.5 is what percent of 199.75 - 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 199.75 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 199.75, so we can write it down as 100%=199.75.
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%=199.75
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%=199.75/198.5
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 199.75

100%/x%=199.75/198.5
(100/x)*x=(199.75/198.5)*x       - we multiply both sides of the equation by x
100=1.0062972292191*x       - we divide both sides of the equation by (1.0062972292191) to get x
100/1.0062972292191=x
99.374217772215=x
x=99.374217772215

now we have:
198.5 is 99.374217772215% of 199.75