702.82 is what percent of 2729 - 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 2729 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 2729, so we can write it down as 100%=2729.
4. We know, that x% equals 702.82 of the output value, so we can write it down as x%=702.82.
5. Now we have two simple equations:
1) 100%=2729
2) x%=702.82
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%=2729/702.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 702.82 is what percent of 2729

100%/x%=2729/702.82
(100/x)*x=(2729/702.82)*x       - we multiply both sides of the equation by x
100=3.8829287726587*x       - we divide both sides of the equation by (3.8829287726587) to get x
100/3.8829287726587=x
25.753755954562=x
x=25.753755954562

now we have:
702.82 is 25.753755954562% of 2729