424.69 is what percent of 339.75 - 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 339.75 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 339.75, so we can write it down as 100%=339.75.
4. We know, that x% equals 424.69 of the output value, so we can write it down as x%=424.69.
5. Now we have two simple equations:
1) 100%=339.75
2) x%=424.69
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%=339.75/424.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 424.69 is what percent of 339.75

100%/x%=339.75/424.69
(100/x)*x=(339.75/424.69)*x       - we multiply both sides of the equation by x
100=0.79999529068262*x       - we divide both sides of the equation by (0.79999529068262) to get x
100/0.79999529068262=x
125.00073583517=x
x=125.00073583517

now we have:
424.69 is 125.00073583517% of 339.75