518.75 is what percent of 16 - 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 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, so we can write it down as 100%=16.
4. We know, that x% equals 518.75 of the output value, so we can write it down as x%=518.75.
5. Now we have two simple equations:
1) 100%=16
2) x%=518.75
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%=16/518.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 518.75 is what percent of 16

100%/x%=16/518.75
(100/x)*x=(16/518.75)*x       - we multiply both sides of the equation by x
100=0.030843373493976*x       - we divide both sides of the equation by (0.030843373493976) to get x
100/0.030843373493976=x
3242.1875=x
x=3242.1875

now we have:
518.75 is 3242.1875% of 16