18.58 is what percent of 404.04 - 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 404.04 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 404.04, so we can write it down as 100%=404.04.
4. We know, that x% equals 18.58 of the output value, so we can write it down as x%=18.58.
5. Now we have two simple equations:
1) 100%=404.04
2) x%=18.58
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%=404.04/18.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.58 is what percent of 404.04

100%/x%=404.04/18.58
(100/x)*x=(404.04/18.58)*x       - we multiply both sides of the equation by x
100=21.745963401507*x       - we divide both sides of the equation by (21.745963401507) to get x
100/21.745963401507=x
4.5985545985546=x
x=4.5985545985546

now we have:
18.58 is 4.5985545985546% of 404.04