125.2 is what percent of 1198.8 - 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 1198.8 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 1198.8, so we can write it down as 100%=1198.8.
4. We know, that x% equals 125.2 of the output value, so we can write it down as x%=125.2.
5. Now we have two simple equations:
1) 100%=1198.8
2) x%=125.2
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%=1198.8/125.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.2 is what percent of 1198.8

100%/x%=1198.8/125.2
(100/x)*x=(1198.8/125.2)*x       - we multiply both sides of the equation by x
100=9.5750798722045*x       - we divide both sides of the equation by (9.5750798722045) to get x
100/9.5750798722045=x
10.443777110444=x
x=10.443777110444

now we have:
125.2 is 10.443777110444% of 1198.8