386.76 is what percent of 580142 - 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 580142 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 580142, so we can write it down as 100%=580142.
4. We know, that x% equals 386.76 of the output value, so we can write it down as x%=386.76.
5. Now we have two simple equations:
1) 100%=580142
2) x%=386.76
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%=580142/386.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 386.76 is what percent of 580142

100%/x%=580142/386.76
(100/x)*x=(580142/386.76)*x       - we multiply both sides of the equation by x
100=1500.0051711656*x       - we divide both sides of the equation by (1500.0051711656) to get x
100/1500.0051711656=x
0.066666436837878=x
x=0.066666436837878

now we have:
386.76 is 0.066666436837878% of 580142