31.08 is what percent of 44 - 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 44 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 44, so we can write it down as 100%=44.
4. We know, that x% equals 31.08 of the output value, so we can write it down as x%=31.08.
5. Now we have two simple equations:
1) 100%=44
2) x%=31.08
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%=44/31.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.08 is what percent of 44

100%/x%=44/31.08
(100/x)*x=(44/31.08)*x       - we multiply both sides of the equation by x
100=1.4157014157014*x       - we divide both sides of the equation by (1.4157014157014) to get x
100/1.4157014157014=x
70.636363636364=x
x=70.636363636364

now we have:
31.08 is 70.636363636364% of 44