164.5 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 164.5 of the output value, so we can write it down as x%=164.5.
5. Now we have two simple equations:
1) 100%=365
2) x%=164.5
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%=365/164.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.5 is what percent of 365

100%/x%=365/164.5
(100/x)*x=(365/164.5)*x       - we multiply both sides of the equation by x
100=2.2188449848024*x       - we divide both sides of the equation by (2.2188449848024) to get x
100/2.2188449848024=x
45.068493150685=x
x=45.068493150685

now we have:
164.5 is 45.068493150685% of 365