748.5 is what percent of 702.56 - 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 702.56 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 702.56, so we can write it down as 100%=702.56.
4. We know, that x% equals 748.5 of the output value, so we can write it down as x%=748.5.
5. Now we have two simple equations:
1) 100%=702.56
2) x%=748.5
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%=702.56/748.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 748.5 is what percent of 702.56

100%/x%=702.56/748.5
(100/x)*x=(702.56/748.5)*x       - we multiply both sides of the equation by x
100=0.93862391449566*x       - we divide both sides of the equation by (0.93862391449566) to get x
100/0.93862391449566=x
106.5389432931=x
x=106.5389432931

now we have:
748.5 is 106.5389432931% of 702.56