2944.2 is what percent of 18480 - 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 18480 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 18480, so we can write it down as 100%=18480.
4. We know, that x% equals 2944.2 of the output value, so we can write it down as x%=2944.2.
5. Now we have two simple equations:
1) 100%=18480
2) x%=2944.2
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%=18480/2944.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2944.2 is what percent of 18480

100%/x%=18480/2944.2
(100/x)*x=(18480/2944.2)*x       - we multiply both sides of the equation by x
100=6.2767475035663*x       - we divide both sides of the equation by (6.2767475035663) to get x
100/6.2767475035663=x
15.931818181818=x
x=15.931818181818

now we have:
2944.2 is 15.931818181818% of 18480