11 is what percent of 31.44 - 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 31.44 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 31.44, so we can write it down as 100%=31.44.
4. We know, that x% equals 11 of the output value, so we can write it down as x%=11.
5. Now we have two simple equations:
1) 100%=31.44
2) x%=11
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%=31.44/11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11 is what percent of 31.44

100%/x%=31.44/11
(100/x)*x=(31.44/11)*x       - we multiply both sides of the equation by x
100=2.8581818181818*x       - we divide both sides of the equation by (2.8581818181818) to get x
100/2.8581818181818=x
34.98727735369=x
x=34.98727735369

now we have:
11 is 34.98727735369% of 31.44