16.19 is what percent of 36.19 - 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 36.19 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 36.19, so we can write it down as 100%=36.19.
4. We know, that x% equals 16.19 of the output value, so we can write it down as x%=16.19.
5. Now we have two simple equations:
1) 100%=36.19
2) x%=16.19
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%=36.19/16.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.19 is what percent of 36.19

100%/x%=36.19/16.19
(100/x)*x=(36.19/16.19)*x       - we multiply both sides of the equation by x
100=2.2353304508956*x       - we divide both sides of the equation by (2.2353304508956) to get x
100/2.2353304508956=x
44.736114948881=x
x=44.736114948881

now we have:
16.19 is 44.736114948881% of 36.19