66.9 is what percent of 65 - 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 65 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 65, so we can write it down as 100%=65.
4. We know, that x% equals 66.9 of the output value, so we can write it down as x%=66.9.
5. Now we have two simple equations:
1) 100%=65
2) x%=66.9
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%=65/66.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.9 is what percent of 65

100%/x%=65/66.9
(100/x)*x=(65/66.9)*x       - we multiply both sides of the equation by x
100=0.97159940209268*x       - we divide both sides of the equation by (0.97159940209268) to get x
100/0.97159940209268=x
102.92307692308=x
x=102.92307692308

now we have:
66.9 is 102.92307692308% of 65