702.5 is what percent of 3397 - 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 3397 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 3397, so we can write it down as 100%=3397.
4. We know, that x% equals 702.5 of the output value, so we can write it down as x%=702.5.
5. Now we have two simple equations:
1) 100%=3397
2) x%=702.5
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%=3397/702.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 702.5 is what percent of 3397

100%/x%=3397/702.5
(100/x)*x=(3397/702.5)*x       - we multiply both sides of the equation by x
100=4.8355871886121*x       - we divide both sides of the equation by (4.8355871886121) to get x
100/4.8355871886121=x
20.680011775096=x
x=20.680011775096

now we have:
702.5 is 20.680011775096% of 3397