65.22 is what percent of 60 - 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 60 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 60, so we can write it down as 100%=60.
4. We know, that x% equals 65.22 of the output value, so we can write it down as x%=65.22.
5. Now we have two simple equations:
1) 100%=60
2) x%=65.22
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%=60/65.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.22 is what percent of 60

100%/x%=60/65.22
(100/x)*x=(60/65.22)*x       - we multiply both sides of the equation by x
100=0.91996320147194*x       - we divide both sides of the equation by (0.91996320147194) to get x
100/0.91996320147194=x
108.7=x
x=108.7

now we have:
65.22 is 108.7% of 60