365.2 is what percent of 575 - 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 575 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 575, so we can write it down as 100%=575.
4. We know, that x% equals 365.2 of the output value, so we can write it down as x%=365.2.
5. Now we have two simple equations:
1) 100%=575
2) x%=365.2
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%=575/365.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 365.2 is what percent of 575

100%/x%=575/365.2
(100/x)*x=(575/365.2)*x       - we multiply both sides of the equation by x
100=1.5744797371303*x       - we divide both sides of the equation by (1.5744797371303) to get x
100/1.5744797371303=x
63.513043478261=x
x=63.513043478261

now we have:
365.2 is 63.513043478261% of 575