5 is what percent of 2016 - 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 2016 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 2016, so we can write it down as 100%=2016.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=2016
2) x%=5
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%=2016/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 2016

100%/x%=2016/5
(100/x)*x=(2016/5)*x       - we multiply both sides of the equation by x
100=403.2*x       - we divide both sides of the equation by (403.2) to get x
100/403.2=x
0.24801587301587=x
x=0.24801587301587

now we have:
5 is 0.24801587301587% of 2016