702.8 is what percent of 1671.5 - 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 1671.5 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 1671.5, so we can write it down as 100%=1671.5.
4. We know, that x% equals 702.8 of the output value, so we can write it down as x%=702.8.
5. Now we have two simple equations:
1) 100%=1671.5
2) x%=702.8
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%=1671.5/702.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 702.8 is what percent of 1671.5

100%/x%=1671.5/702.8
(100/x)*x=(1671.5/702.8)*x       - we multiply both sides of the equation by x
100=2.378343767786*x       - we divide both sides of the equation by (2.378343767786) to get x
100/2.378343767786=x
42.046066407418=x
x=42.046066407418

now we have:
702.8 is 42.046066407418% of 1671.5