2691.88 is what percent of 6872.25 - 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 6872.25 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 6872.25, so we can write it down as 100%=6872.25.
4. We know, that x% equals 2691.88 of the output value, so we can write it down as x%=2691.88.
5. Now we have two simple equations:
1) 100%=6872.25
2) x%=2691.88
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%=6872.25/2691.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2691.88 is what percent of 6872.25

100%/x%=6872.25/2691.88
(100/x)*x=(6872.25/2691.88)*x       - we multiply both sides of the equation by x
100=2.5529555552253*x       - we divide both sides of the equation by (2.5529555552253) to get x
100/2.5529555552253=x
39.170286296337=x
x=39.170286296337

now we have:
2691.88 is 39.170286296337% of 6872.25