31.16 is what percent of 205.61 - 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 205.61 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 205.61, so we can write it down as 100%=205.61.
4. We know, that x% equals 31.16 of the output value, so we can write it down as x%=31.16.
5. Now we have two simple equations:
1) 100%=205.61
2) x%=31.16
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%=205.61/31.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.16 is what percent of 205.61

100%/x%=205.61/31.16
(100/x)*x=(205.61/31.16)*x       - we multiply both sides of the equation by x
100=6.5985237483954*x       - we divide both sides of the equation by (6.5985237483954) to get x
100/6.5985237483954=x
15.154904917076=x
x=15.154904917076

now we have:
31.16 is 15.154904917076% of 205.61