486.63 is what percent of 3859.08 - 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 3859.08 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 3859.08, so we can write it down as 100%=3859.08.
4. We know, that x% equals 486.63 of the output value, so we can write it down as x%=486.63.
5. Now we have two simple equations:
1) 100%=3859.08
2) x%=486.63
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%=3859.08/486.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 486.63 is what percent of 3859.08

100%/x%=3859.08/486.63
(100/x)*x=(3859.08/486.63)*x       - we multiply both sides of the equation by x
100=7.9302139202269*x       - we divide both sides of the equation by (7.9302139202269) to get x
100/7.9302139202269=x
12.610000310955=x
x=12.610000310955

now we have:
486.63 is 12.610000310955% of 3859.08