484.71 is what percent of 702.5 - 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 702.5 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 702.5, so we can write it down as 100%=702.5.
4. We know, that x% equals 484.71 of the output value, so we can write it down as x%=484.71.
5. Now we have two simple equations:
1) 100%=702.5
2) x%=484.71
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%=702.5/484.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 484.71 is what percent of 702.5

100%/x%=702.5/484.71
(100/x)*x=(702.5/484.71)*x       - we multiply both sides of the equation by x
100=1.4493202120856*x       - we divide both sides of the equation by (1.4493202120856) to get x
100/1.4493202120856=x
68.997864768683=x
x=68.997864768683

now we have:
484.71 is 68.997864768683% of 702.5