16.65 is what percent of 68.35 - 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 68.35 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 68.35, so we can write it down as 100%=68.35.
4. We know, that x% equals 16.65 of the output value, so we can write it down as x%=16.65.
5. Now we have two simple equations:
1) 100%=68.35
2) x%=16.65
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%=68.35/16.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.65 is what percent of 68.35

100%/x%=68.35/16.65
(100/x)*x=(68.35/16.65)*x       - we multiply both sides of the equation by x
100=4.1051051051051*x       - we divide both sides of the equation by (4.1051051051051) to get x
100/4.1051051051051=x
24.359912216533=x
x=24.359912216533

now we have:
16.65 is 24.359912216533% of 68.35