407.04 is what percent of 3000 - 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 3000 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 3000, so we can write it down as 100%=3000.
4. We know, that x% equals 407.04 of the output value, so we can write it down as x%=407.04.
5. Now we have two simple equations:
1) 100%=3000
2) x%=407.04
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%=3000/407.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 407.04 is what percent of 3000

100%/x%=3000/407.04
(100/x)*x=(3000/407.04)*x       - we multiply both sides of the equation by x
100=7.3702830188679*x       - we divide both sides of the equation by (7.3702830188679) to get x
100/7.3702830188679=x
13.568=x
x=13.568

now we have:
407.04 is 13.568% of 3000