31.2 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 31.2 of the output value, so we can write it down as x%=31.2.
5. Now we have two simple equations:
1) 100%=65
2) x%=31.2
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%=65/31.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.2 is what percent of 65

100%/x%=65/31.2
(100/x)*x=(65/31.2)*x       - we multiply both sides of the equation by x
100=2.0833333333333*x       - we divide both sides of the equation by (2.0833333333333) to get x
100/2.0833333333333=x
48=x
x=48

now we have:
31.2 is 48% of 65