31.24 is what percent of 227.2 - 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 227.2 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 227.2, so we can write it down as 100%=227.2.
4. We know, that x% equals 31.24 of the output value, so we can write it down as x%=31.24.
5. Now we have two simple equations:
1) 100%=227.2
2) x%=31.24
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%=227.2/31.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.24 is what percent of 227.2

100%/x%=227.2/31.24
(100/x)*x=(227.2/31.24)*x       - we multiply both sides of the equation by x
100=7.2727272727273*x       - we divide both sides of the equation by (7.2727272727273) to get x
100/7.2727272727273=x
13.75=x
x=13.75

now we have:
31.24 is 13.75% of 227.2