16.26 is what percent of 36.58 - 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 36.58 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 36.58, so we can write it down as 100%=36.58.
4. We know, that x% equals 16.26 of the output value, so we can write it down as x%=16.26.
5. Now we have two simple equations:
1) 100%=36.58
2) x%=16.26
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%=36.58/16.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.26 is what percent of 36.58

100%/x%=36.58/16.26
(100/x)*x=(36.58/16.26)*x       - we multiply both sides of the equation by x
100=2.249692496925*x       - we divide both sides of the equation by (2.249692496925) to get x
100/2.249692496925=x
44.450519409513=x
x=44.450519409513

now we have:
16.26 is 44.450519409513% of 36.58