66.58 is what percent of 65.5 - 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 65.5 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 65.5, so we can write it down as 100%=65.5.
4. We know, that x% equals 66.58 of the output value, so we can write it down as x%=66.58.
5. Now we have two simple equations:
1) 100%=65.5
2) x%=66.58
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%=65.5/66.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.58 is what percent of 65.5

100%/x%=65.5/66.58
(100/x)*x=(65.5/66.58)*x       - we multiply both sides of the equation by x
100=0.98377891258636*x       - we divide both sides of the equation by (0.98377891258636) to get x
100/0.98377891258636=x
101.64885496183=x
x=101.64885496183

now we have:
66.58 is 101.64885496183% of 65.5