65.52 is what percent of 66.56 - 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 66.56 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 66.56, so we can write it down as 100%=66.56.
4. We know, that x% equals 65.52 of the output value, so we can write it down as x%=65.52.
5. Now we have two simple equations:
1) 100%=66.56
2) x%=65.52
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%=66.56/65.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.52 is what percent of 66.56

100%/x%=66.56/65.52
(100/x)*x=(66.56/65.52)*x       - we multiply both sides of the equation by x
100=1.015873015873*x       - we divide both sides of the equation by (1.015873015873) to get x
100/1.015873015873=x
98.4375=x
x=98.4375

now we have:
65.52 is 98.4375% of 66.56