16 is what percent of 15.6 - 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 15.6 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 15.6, so we can write it down as 100%=15.6.
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%=15.6
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%=15.6/16
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 15.6

100%/x%=15.6/16
(100/x)*x=(15.6/16)*x       - we multiply both sides of the equation by x
100=0.975*x       - we divide both sides of the equation by (0.975) to get x
100/0.975=x
102.5641025641=x
x=102.5641025641

now we have:
16 is 102.5641025641% of 15.6