16.9 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 16.9 of the output value, so we can write it down as x%=16.9.
5. Now we have two simple equations:
1) 100%=16
2) x%=16.9
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%=16/16.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.9 is what percent of 16

100%/x%=16/16.9
(100/x)*x=(16/16.9)*x       - we multiply both sides of the equation by x
100=0.94674556213018*x       - we divide both sides of the equation by (0.94674556213018) to get x
100/0.94674556213018=x
105.625=x
x=105.625

now we have:
16.9 is 105.625% of 16