31 is what percent of 31111 - 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 31111 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 31111, so we can write it down as 100%=31111.
4. We know, that x% equals 31 of the output value, so we can write it down as x%=31.
5. Now we have two simple equations:
1) 100%=31111
2) x%=31
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%=31111/31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31 is what percent of 31111

100%/x%=31111/31
(100/x)*x=(31111/31)*x       - we multiply both sides of the equation by x
100=1003.5806451613*x       - we divide both sides of the equation by (1003.5806451613) to get x
100/1003.5806451613=x
0.099643213011475=x
x=0.099643213011475

now we have:
31 is 0.099643213011475% of 31111