64.66 is what percent of 67 - 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 67 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 67, so we can write it down as 100%=67.
4. We know, that x% equals 64.66 of the output value, so we can write it down as x%=64.66.
5. Now we have two simple equations:
1) 100%=67
2) x%=64.66
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%=67/64.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.66 is what percent of 67

100%/x%=67/64.66
(100/x)*x=(67/64.66)*x       - we multiply both sides of the equation by x
100=1.0361892978658*x       - we divide both sides of the equation by (1.0361892978658) to get x
100/1.0361892978658=x
96.507462686567=x
x=96.507462686567

now we have:
64.66 is 96.507462686567% of 67