36.69 is what percent of 63.5 - 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 63.5 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 63.5, so we can write it down as 100%=63.5.
4. We know, that x% equals 36.69 of the output value, so we can write it down as x%=36.69.
5. Now we have two simple equations:
1) 100%=63.5
2) x%=36.69
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%=63.5/36.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.69 is what percent of 63.5

100%/x%=63.5/36.69
(100/x)*x=(63.5/36.69)*x       - we multiply both sides of the equation by x
100=1.7307168165713*x       - we divide both sides of the equation by (1.7307168165713) to get x
100/1.7307168165713=x
57.779527559055=x
x=57.779527559055

now we have:
36.69 is 57.779527559055% of 63.5