1680.65 is what percent of 16.477 - 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 16.477 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 16.477, so we can write it down as 100%=16.477.
4. We know, that x% equals 1680.65 of the output value, so we can write it down as x%=1680.65.
5. Now we have two simple equations:
1) 100%=16.477
2) x%=1680.65
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%=16.477/1680.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1680.65 is what percent of 16.477

100%/x%=16.477/1680.65
(100/x)*x=(16.477/1680.65)*x       - we multiply both sides of the equation by x
100=0.00980394490227*x       - we divide both sides of the equation by (0.00980394490227) to get x
100/0.00980394490227=x
10199.975723736=x
x=10199.975723736

now we have:
1680.65 is 10199.975723736% of 16.477