365.05 is what percent of 512 - 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 512 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 512, so we can write it down as 100%=512.
4. We know, that x% equals 365.05 of the output value, so we can write it down as x%=365.05.
5. Now we have two simple equations:
1) 100%=512
2) x%=365.05
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%=512/365.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.05 is what percent of 512

100%/x%=512/365.05
(100/x)*x=(512/365.05)*x       - we multiply both sides of the equation by x
100=1.4025475962197*x       - we divide both sides of the equation by (1.4025475962197) to get x
100/1.4025475962197=x
71.298828125=x
x=71.298828125

now we have:
365.05 is 71.298828125% of 512