54.88 is what percent of 843.96 - 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 843.96 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 843.96, so we can write it down as 100%=843.96.
4. We know, that x% equals 54.88 of the output value, so we can write it down as x%=54.88.
5. Now we have two simple equations:
1) 100%=843.96
2) x%=54.88
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%=843.96/54.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.88 is what percent of 843.96

100%/x%=843.96/54.88
(100/x)*x=(843.96/54.88)*x       - we multiply both sides of the equation by x
100=15.378279883382*x       - we divide both sides of the equation by (15.378279883382) to get x
100/15.378279883382=x
6.5026778520309=x
x=6.5026778520309

now we have:
54.88 is 6.5026778520309% of 843.96