61.66 is what percent of 129 - 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 129 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 129, so we can write it down as 100%=129.
4. We know, that x% equals 61.66 of the output value, so we can write it down as x%=61.66.
5. Now we have two simple equations:
1) 100%=129
2) x%=61.66
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%=129/61.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.66 is what percent of 129

100%/x%=129/61.66
(100/x)*x=(129/61.66)*x       - we multiply both sides of the equation by x
100=2.092118066818*x       - we divide both sides of the equation by (2.092118066818) to get x
100/2.092118066818=x
47.798449612403=x
x=47.798449612403

now we have:
61.66 is 47.798449612403% of 129