9.11 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 9.11 of the output value, so we can write it down as x%=9.11.
5. Now we have two simple equations:
1) 100%=64
2) x%=9.11
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%=64/9.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.11 is what percent of 64

100%/x%=64/9.11
(100/x)*x=(64/9.11)*x       - we multiply both sides of the equation by x
100=7.0252469813392*x       - we divide both sides of the equation by (7.0252469813392) to get x
100/7.0252469813392=x
14.234375=x
x=14.234375

now we have:
9.11 is 14.234375% of 64