125.94 is what percent of 1138.46 - 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 1138.46 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 1138.46, so we can write it down as 100%=1138.46.
4. We know, that x% equals 125.94 of the output value, so we can write it down as x%=125.94.
5. Now we have two simple equations:
1) 100%=1138.46
2) x%=125.94
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%=1138.46/125.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.94 is what percent of 1138.46

100%/x%=1138.46/125.94
(100/x)*x=(1138.46/125.94)*x       - we multiply both sides of the equation by x
100=9.0397014451326*x       - we divide both sides of the equation by (9.0397014451326) to get x
100/9.0397014451326=x
11.062312246368=x
x=11.062312246368

now we have:
125.94 is 11.062312246368% of 1138.46