64 is what percent of 66.66666666 - 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 66.66666666 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 66.66666666, so we can write it down as 100%=66.66666666.
4. We know, that x% equals 64 of the output value, so we can write it down as x%=64.
5. Now we have two simple equations:
1) 100%=66.66666666
2) x%=64
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%=66.66666666/64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64 is what percent of 66.66666666

100%/x%=66.66666666/64
(100/x)*x=(66.66666666/64)*x       - we multiply both sides of the equation by x
100=1.0416666665625*x       - we divide both sides of the equation by (1.0416666665625) to get x
100/1.0416666665625=x
96.0000000096=x
x=96.0000000096

now we have:
64 is 96.0000000096% of 66.66666666