16.8 is what percent of 166.8 - 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 166.8 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 166.8, so we can write it down as 100%=166.8.
4. We know, that x% equals 16.8 of the output value, so we can write it down as x%=16.8.
5. Now we have two simple equations:
1) 100%=166.8
2) x%=16.8
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%=166.8/16.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.8 is what percent of 166.8

100%/x%=166.8/16.8
(100/x)*x=(166.8/16.8)*x       - we multiply both sides of the equation by x
100=9.9285714285714*x       - we divide both sides of the equation by (9.9285714285714) to get x
100/9.9285714285714=x
10.071942446043=x
x=10.071942446043

now we have:
16.8 is 10.071942446043% of 166.8