40.16 is what percent of 40 - 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 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, so we can write it down as 100%=40.
4. We know, that x% equals 40.16 of the output value, so we can write it down as x%=40.16.
5. Now we have two simple equations:
1) 100%=40
2) x%=40.16
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%=40/40.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.16 is what percent of 40

100%/x%=40/40.16
(100/x)*x=(40/40.16)*x       - we multiply both sides of the equation by x
100=0.99601593625498*x       - we divide both sides of the equation by (0.99601593625498) to get x
100/0.99601593625498=x
100.4=x
x=100.4

now we have:
40.16 is 100.4% of 40