455.91 is what percent of 3684.46 - 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 3684.46 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 3684.46, so we can write it down as 100%=3684.46.
4. We know, that x% equals 455.91 of the output value, so we can write it down as x%=455.91.
5. Now we have two simple equations:
1) 100%=3684.46
2) x%=455.91
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%=3684.46/455.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 455.91 is what percent of 3684.46

100%/x%=3684.46/455.91
(100/x)*x=(3684.46/455.91)*x       - we multiply both sides of the equation by x
100=8.0815511833476*x       - we divide both sides of the equation by (8.0815511833476) to get x
100/8.0815511833476=x
12.373862112766=x
x=12.373862112766

now we have:
455.91 is 12.373862112766% of 3684.46