31.2 is what percent of 50.5 - 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 50.5 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 50.5, so we can write it down as 100%=50.5.
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%=50.5
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%=50.5/31.2
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 50.5

100%/x%=50.5/31.2
(100/x)*x=(50.5/31.2)*x       - we multiply both sides of the equation by x
100=1.6185897435897*x       - we divide both sides of the equation by (1.6185897435897) to get x
100/1.6185897435897=x
61.782178217822=x
x=61.782178217822

now we have:
31.2 is 61.782178217822% of 50.5