36.5 is what percent of 59.78 - 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 59.78 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 59.78, so we can write it down as 100%=59.78.
4. We know, that x% equals 36.5 of the output value, so we can write it down as x%=36.5.
5. Now we have two simple equations:
1) 100%=59.78
2) x%=36.5
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%=59.78/36.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.5 is what percent of 59.78

100%/x%=59.78/36.5
(100/x)*x=(59.78/36.5)*x       - we multiply both sides of the equation by x
100=1.6378082191781*x       - we divide both sides of the equation by (1.6378082191781) to get x
100/1.6378082191781=x
61.057209769154=x
x=61.057209769154

now we have:
36.5 is 61.057209769154% of 59.78