16 is what percent of 40.13 - 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 40.13 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 40.13, so we can write it down as 100%=40.13.
4. We know, that x% equals 16 of the output value, so we can write it down as x%=16.
5. Now we have two simple equations:
1) 100%=40.13
2) x%=16
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%=40.13/16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16 is what percent of 40.13

100%/x%=40.13/16
(100/x)*x=(40.13/16)*x       - we multiply both sides of the equation by x
100=2.508125*x       - we divide both sides of the equation by (2.508125) to get x
100/2.508125=x
39.870421131323=x
x=39.870421131323

now we have:
16 is 39.870421131323% of 40.13