53.97 is what percent of 705.5 - 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 705.5 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 705.5, so we can write it down as 100%=705.5.
4. We know, that x% equals 53.97 of the output value, so we can write it down as x%=53.97.
5. Now we have two simple equations:
1) 100%=705.5
2) x%=53.97
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%=705.5/53.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.97 is what percent of 705.5

100%/x%=705.5/53.97
(100/x)*x=(705.5/53.97)*x       - we multiply both sides of the equation by x
100=13.072077079859*x       - we divide both sides of the equation by (13.072077079859) to get x
100/13.072077079859=x
7.6498936924167=x
x=7.6498936924167

now we have:
53.97 is 7.6498936924167% of 705.5