16.17 is what percent of 44.42 - 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 44.42 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 44.42, so we can write it down as 100%=44.42.
4. We know, that x% equals 16.17 of the output value, so we can write it down as x%=16.17.
5. Now we have two simple equations:
1) 100%=44.42
2) x%=16.17
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%=44.42/16.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.17 is what percent of 44.42

100%/x%=44.42/16.17
(100/x)*x=(44.42/16.17)*x       - we multiply both sides of the equation by x
100=2.7470624613482*x       - we divide both sides of the equation by (2.7470624613482) to get x
100/2.7470624613482=x
36.402521386763=x
x=36.402521386763

now we have:
16.17 is 36.402521386763% of 44.42