407.65 is what percent of 582 - 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 582 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 582, so we can write it down as 100%=582.
4. We know, that x% equals 407.65 of the output value, so we can write it down as x%=407.65.
5. Now we have two simple equations:
1) 100%=582
2) x%=407.65
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%=582/407.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 407.65 is what percent of 582

100%/x%=582/407.65
(100/x)*x=(582/407.65)*x       - we multiply both sides of the equation by x
100=1.4276953268735*x       - we divide both sides of the equation by (1.4276953268735) to get x
100/1.4276953268735=x
70.04295532646=x
x=70.04295532646

now we have:
407.65 is 70.04295532646% of 582