126.83 is what percent of 1209.33 - 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 1209.33 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 1209.33, so we can write it down as 100%=1209.33.
4. We know, that x% equals 126.83 of the output value, so we can write it down as x%=126.83.
5. Now we have two simple equations:
1) 100%=1209.33
2) x%=126.83
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%=1209.33/126.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.83 is what percent of 1209.33

100%/x%=1209.33/126.83
(100/x)*x=(1209.33/126.83)*x       - we multiply both sides of the equation by x
100=9.5350469131909*x       - we divide both sides of the equation by (9.5350469131909) to get x
100/9.5350469131909=x
10.487625379342=x
x=10.487625379342

now we have:
126.83 is 10.487625379342% of 1209.33