126.83 is what percent of 829.64 - 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 829.64 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 829.64, so we can write it down as 100%=829.64.
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%=829.64
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%=829.64/126.83
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 829.64

100%/x%=829.64/126.83
(100/x)*x=(829.64/126.83)*x       - we multiply both sides of the equation by x
100=6.5413545691083*x       - we divide both sides of the equation by (6.5413545691083) to get x
100/6.5413545691083=x
15.287353550938=x
x=15.287353550938

now we have:
126.83 is 15.287353550938% of 829.64