415.2 is what percent of 65 - 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 65 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 65, so we can write it down as 100%=65.
4. We know, that x% equals 415.2 of the output value, so we can write it down as x%=415.2.
5. Now we have two simple equations:
1) 100%=65
2) x%=415.2
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%=65/415.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 415.2 is what percent of 65

100%/x%=65/415.2
(100/x)*x=(65/415.2)*x       - we multiply both sides of the equation by x
100=0.15655105973025*x       - we divide both sides of the equation by (0.15655105973025) to get x
100/0.15655105973025=x
638.76923076923=x
x=638.76923076923

now we have:
415.2 is 638.76923076923% of 65