16 is what percent of 16.45 - 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 16.45 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 16.45, so we can write it down as 100%=16.45.
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%=16.45
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%=16.45/16
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 16.45

100%/x%=16.45/16
(100/x)*x=(16.45/16)*x       - we multiply both sides of the equation by x
100=1.028125*x       - we divide both sides of the equation by (1.028125) to get x
100/1.028125=x
97.26443768997=x
x=97.26443768997

now we have:
16 is 97.26443768997% of 16.45