16 is what percent of 466.3 - 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 466.3 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 466.3, so we can write it down as 100%=466.3.
4. We know, that x% equals 16 of the output value, so we can write it down as x%=16.
5. Now we have two simple equations:
1) 100%=466.3
2) x%=16
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%=466.3/16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16 is what percent of 466.3

100%/x%=466.3/16
(100/x)*x=(466.3/16)*x       - we multiply both sides of the equation by x
100=29.14375*x       - we divide both sides of the equation by (29.14375) to get x
100/29.14375=x
3.4312674244049=x
x=3.4312674244049

now we have:
16 is 3.4312674244049% of 466.3