5.2 is what percent of 31.2 - 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 31.2 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 31.2, so we can write it down as 100%=31.2.
4. We know, that x% equals 5.2 of the output value, so we can write it down as x%=5.2.
5. Now we have two simple equations:
1) 100%=31.2
2) x%=5.2
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%=31.2/5.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.2 is what percent of 31.2

100%/x%=31.2/5.2
(100/x)*x=(31.2/5.2)*x       - we multiply both sides of the equation by x
100=6*x       - we divide both sides of the equation by (6) to get x
100/6=x
16.666666666667=x
x=16.666666666667

now we have:
5.2 is 16.666666666667% of 31.2