172.8 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 172.8 of the output value, so we can write it down as x%=172.8.
5. Now we have two simple equations:
1) 100%=365
2) x%=172.8
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%=365/172.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 172.8 is what percent of 365

100%/x%=365/172.8
(100/x)*x=(365/172.8)*x       - we multiply both sides of the equation by x
100=2.1122685185185*x       - we divide both sides of the equation by (2.1122685185185) to get x
100/2.1122685185185=x
47.342465753425=x
x=47.342465753425

now we have:
172.8 is 47.342465753425% of 365