28.82 is what percent of 31 - 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 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, so we can write it down as 100%=31.
4. We know, that x% equals 28.82 of the output value, so we can write it down as x%=28.82.
5. Now we have two simple equations:
1) 100%=31
2) x%=28.82
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%=31/28.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.82 is what percent of 31

100%/x%=31/28.82
(100/x)*x=(31/28.82)*x       - we multiply both sides of the equation by x
100=1.0756419153366*x       - we divide both sides of the equation by (1.0756419153366) to get x
100/1.0756419153366=x
92.967741935484=x
x=92.967741935484

now we have:
28.82 is 92.967741935484% of 31