66.48 is what percent of 66.595 - 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 66.595 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 66.595, so we can write it down as 100%=66.595.
4. We know, that x% equals 66.48 of the output value, so we can write it down as x%=66.48.
5. Now we have two simple equations:
1) 100%=66.595
2) x%=66.48
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%=66.595/66.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.48 is what percent of 66.595

100%/x%=66.595/66.48
(100/x)*x=(66.595/66.48)*x       - we multiply both sides of the equation by x
100=1.001729843562*x       - we divide both sides of the equation by (1.001729843562) to get x
100/1.001729843562=x
99.82731436294=x
x=99.82731436294

now we have:
66.48 is 99.82731436294% of 66.595