54.84 is what percent of 65.14 - 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 65.14 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 65.14, so we can write it down as 100%=65.14.
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%=65.14
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%=65.14/54.84
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 65.14

100%/x%=65.14/54.84
(100/x)*x=(65.14/54.84)*x       - we multiply both sides of the equation by x
100=1.1878191101386*x       - we divide both sides of the equation by (1.1878191101386) to get x
100/1.1878191101386=x
84.187902978201=x
x=84.187902978201

now we have:
54.84 is 84.187902978201% of 65.14