365.2 is what percent of 470 - 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 470 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 470, so we can write it down as 100%=470.
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%=470
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%=470/365.2
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 470

100%/x%=470/365.2
(100/x)*x=(470/365.2)*x       - we multiply both sides of the equation by x
100=1.2869660460022*x       - we divide both sides of the equation by (1.2869660460022) to get x
100/1.2869660460022=x
77.702127659574=x
x=77.702127659574

now we have:
365.2 is 77.702127659574% of 470