43.54 is what percent of 702.25 - 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 702.25 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 702.25, so we can write it down as 100%=702.25.
4. We know, that x% equals 43.54 of the output value, so we can write it down as x%=43.54.
5. Now we have two simple equations:
1) 100%=702.25
2) x%=43.54
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%=702.25/43.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.54 is what percent of 702.25

100%/x%=702.25/43.54
(100/x)*x=(702.25/43.54)*x       - we multiply both sides of the equation by x
100=16.128847037207*x       - we divide both sides of the equation by (16.128847037207) to get x
100/16.128847037207=x
6.2000711997152=x
x=6.2000711997152

now we have:
43.54 is 6.2000711997152% of 702.25