65.77 is what percent of 129.09 - 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 129.09 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 129.09, so we can write it down as 100%=129.09.
4. We know, that x% equals 65.77 of the output value, so we can write it down as x%=65.77.
5. Now we have two simple equations:
1) 100%=129.09
2) x%=65.77
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%=129.09/65.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.77 is what percent of 129.09

100%/x%=129.09/65.77
(100/x)*x=(129.09/65.77)*x       - we multiply both sides of the equation by x
100=1.9627489736962*x       - we divide both sides of the equation by (1.9627489736962) to get x
100/1.9627489736962=x
50.948950344721=x
x=50.948950344721

now we have:
65.77 is 50.948950344721% of 129.09