365.5 is what percent of 369 - 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 369 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 369, so we can write it down as 100%=369.
4. We know, that x% equals 365.5 of the output value, so we can write it down as x%=365.5.
5. Now we have two simple equations:
1) 100%=369
2) x%=365.5
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%=369/365.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.5 is what percent of 369

100%/x%=369/365.5
(100/x)*x=(369/365.5)*x       - we multiply both sides of the equation by x
100=1.0095759233926*x       - we divide both sides of the equation by (1.0095759233926) to get x
100/1.0095759233926=x
99.051490514905=x
x=99.051490514905

now we have:
365.5 is 99.051490514905% of 369