429.85 is what percent of 727.28 - 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 727.28 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 727.28, so we can write it down as 100%=727.28.
4. We know, that x% equals 429.85 of the output value, so we can write it down as x%=429.85.
5. Now we have two simple equations:
1) 100%=727.28
2) x%=429.85
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%=727.28/429.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 429.85 is what percent of 727.28

100%/x%=727.28/429.85
(100/x)*x=(727.28/429.85)*x       - we multiply both sides of the equation by x
100=1.6919390485053*x       - we divide both sides of the equation by (1.6919390485053) to get x
100/1.6919390485053=x
59.10378396216=x
x=59.10378396216

now we have:
429.85 is 59.10378396216% of 727.28