16.85 is what percent of 499.99 - 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 499.99 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 499.99, so we can write it down as 100%=499.99.
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%=499.99
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%=499.99/16.85
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 499.99

100%/x%=499.99/16.85
(100/x)*x=(499.99/16.85)*x       - we multiply both sides of the equation by x
100=29.672997032641*x       - we divide both sides of the equation by (29.672997032641) to get x
100/29.672997032641=x
3.370067401348=x
x=3.370067401348

now we have:
16.85 is 3.370067401348% of 499.99