16.67 is what percent of 30000 - 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 30000 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 30000, so we can write it down as 100%=30000.
4. We know, that x% equals 16.67 of the output value, so we can write it down as x%=16.67.
5. Now we have two simple equations:
1) 100%=30000
2) x%=16.67
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%=30000/16.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.67 is what percent of 30000

100%/x%=30000/16.67
(100/x)*x=(30000/16.67)*x       - we multiply both sides of the equation by x
100=1799.6400719856*x       - we divide both sides of the equation by (1799.6400719856) to get x
100/1799.6400719856=x
0.055566666666667=x
x=0.055566666666667

now we have:
16.67 is 0.055566666666667% of 30000