60.92 is what percent of 64 - 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 64 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 64, so we can write it down as 100%=64.
4. We know, that x% equals 60.92 of the output value, so we can write it down as x%=60.92.
5. Now we have two simple equations:
1) 100%=64
2) x%=60.92
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%=64/60.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.92 is what percent of 64

100%/x%=64/60.92
(100/x)*x=(64/60.92)*x       - we multiply both sides of the equation by x
100=1.0505581089954*x       - we divide both sides of the equation by (1.0505581089954) to get x
100/1.0505581089954=x
95.1875=x
x=95.1875

now we have:
60.92 is 95.1875% of 64