126.08 is what percent of 1194.58 - 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 1194.58 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 1194.58, so we can write it down as 100%=1194.58.
4. We know, that x% equals 126.08 of the output value, so we can write it down as x%=126.08.
5. Now we have two simple equations:
1) 100%=1194.58
2) x%=126.08
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%=1194.58/126.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.08 is what percent of 1194.58

100%/x%=1194.58/126.08
(100/x)*x=(1194.58/126.08)*x       - we multiply both sides of the equation by x
100=9.4747779187817*x       - we divide both sides of the equation by (9.4747779187817) to get x
100/9.4747779187817=x
10.554337089186=x
x=10.554337089186

now we have:
126.08 is 10.554337089186% of 1194.58