10.89 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 10.89 of the output value, so we can write it down as x%=10.89.
5. Now we have two simple equations:
1) 100%=365
2) x%=10.89
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%=365/10.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.89 is what percent of 365

100%/x%=365/10.89
(100/x)*x=(365/10.89)*x       - we multiply both sides of the equation by x
100=33.516988062443*x       - we divide both sides of the equation by (33.516988062443) to get x
100/33.516988062443=x
2.9835616438356=x
x=2.9835616438356

now we have:
10.89 is 2.9835616438356% of 365