30 is what percent of 16680 - 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 16680 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 16680, so we can write it down as 100%=16680.
4. We know, that x% equals 30 of the output value, so we can write it down as x%=30.
5. Now we have two simple equations:
1) 100%=16680
2) x%=30
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%=16680/30
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30 is what percent of 16680

100%/x%=16680/30
(100/x)*x=(16680/30)*x       - we multiply both sides of the equation by x
100=556*x       - we divide both sides of the equation by (556) to get x
100/556=x
0.17985611510791=x
x=0.17985611510791

now we have:
30 is 0.17985611510791% of 16680