36.36 is what percent of 43.26 - 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 43.26 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 43.26, so we can write it down as 100%=43.26.
4. We know, that x% equals 36.36 of the output value, so we can write it down as x%=36.36.
5. Now we have two simple equations:
1) 100%=43.26
2) x%=36.36
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%=43.26/36.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.36 is what percent of 43.26

100%/x%=43.26/36.36
(100/x)*x=(43.26/36.36)*x       - we multiply both sides of the equation by x
100=1.1897689768977*x       - we divide both sides of the equation by (1.1897689768977) to get x
100/1.1897689768977=x
84.049930651872=x
x=84.049930651872

now we have:
36.36 is 84.049930651872% of 43.26