10.66 is what percent of 365 - 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 365 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 365, so we can write it down as 100%=365.
4. We know, that x% equals 10.66 of the output value, so we can write it down as x%=10.66.
5. Now we have two simple equations:
1) 100%=365
2) x%=10.66
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%=365/10.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.66 is what percent of 365

100%/x%=365/10.66
(100/x)*x=(365/10.66)*x       - we multiply both sides of the equation by x
100=34.240150093809*x       - we divide both sides of the equation by (34.240150093809) to get x
100/34.240150093809=x
2.9205479452055=x
x=2.9205479452055

now we have:
10.66 is 2.9205479452055% of 365