54.84 is what percent of 85.47 - 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 85.47 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 85.47, so we can write it down as 100%=85.47.
4. We know, that x% equals 54.84 of the output value, so we can write it down as x%=54.84.
5. Now we have two simple equations:
1) 100%=85.47
2) x%=54.84
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%=85.47/54.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.84 is what percent of 85.47

100%/x%=85.47/54.84
(100/x)*x=(85.47/54.84)*x       - we multiply both sides of the equation by x
100=1.558533916849*x       - we divide both sides of the equation by (1.558533916849) to get x
100/1.558533916849=x
64.162864162864=x
x=64.162864162864

now we have:
54.84 is 64.162864162864% of 85.47