16.5 is what percent of 48000 - 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 48000 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 48000, so we can write it down as 100%=48000.
4. We know, that x% equals 16.5 of the output value, so we can write it down as x%=16.5.
5. Now we have two simple equations:
1) 100%=48000
2) x%=16.5
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%=48000/16.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.5 is what percent of 48000

100%/x%=48000/16.5
(100/x)*x=(48000/16.5)*x       - we multiply both sides of the equation by x
100=2909.0909090909*x       - we divide both sides of the equation by (2909.0909090909) to get x
100/2909.0909090909=x
0.034375=x
x=0.034375

now we have:
16.5 is 0.034375% of 48000