16.69 is what percent of 3.287 - 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 3.287 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 3.287, so we can write it down as 100%=3.287.
4. We know, that x% equals 16.69 of the output value, so we can write it down as x%=16.69.
5. Now we have two simple equations:
1) 100%=3.287
2) x%=16.69
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%=3.287/16.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.69 is what percent of 3.287

100%/x%=3.287/16.69
(100/x)*x=(3.287/16.69)*x       - we multiply both sides of the equation by x
100=0.19694427801078*x       - we divide both sides of the equation by (0.19694427801078) to get x
100/0.19694427801078=x
507.75783389109=x
x=507.75783389109

now we have:
16.69 is 507.75783389109% of 3.287