16.85 is what percent of 19.685 - 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 19.685 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 19.685, so we can write it down as 100%=19.685.
4. We know, that x% equals 16.85 of the output value, so we can write it down as x%=16.85.
5. Now we have two simple equations:
1) 100%=19.685
2) x%=16.85
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%=19.685/16.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.85 is what percent of 19.685

100%/x%=19.685/16.85
(100/x)*x=(19.685/16.85)*x       - we multiply both sides of the equation by x
100=1.1682492581602*x       - we divide both sides of the equation by (1.1682492581602) to get x
100/1.1682492581602=x
85.598171196342=x
x=85.598171196342

now we have:
16.85 is 85.598171196342% of 19.685