472.35 is what percent of 2616.6 - 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 2616.6 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 2616.6, so we can write it down as 100%=2616.6.
4. We know, that x% equals 472.35 of the output value, so we can write it down as x%=472.35.
5. Now we have two simple equations:
1) 100%=2616.6
2) x%=472.35
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%=2616.6/472.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 472.35 is what percent of 2616.6

100%/x%=2616.6/472.35
(100/x)*x=(2616.6/472.35)*x       - we multiply both sides of the equation by x
100=5.5395363607494*x       - we divide both sides of the equation by (5.5395363607494) to get x
100/5.5395363607494=x
18.052052281587=x
x=18.052052281587

now we have:
472.35 is 18.052052281587% of 2616.6