54.02 is what percent of 65.4 - 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 65.4 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 65.4, so we can write it down as 100%=65.4.
4. We know, that x% equals 54.02 of the output value, so we can write it down as x%=54.02.
5. Now we have two simple equations:
1) 100%=65.4
2) x%=54.02
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%=65.4/54.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.02 is what percent of 65.4

100%/x%=65.4/54.02
(100/x)*x=(65.4/54.02)*x       - we multiply both sides of the equation by x
100=1.210662717512*x       - we divide both sides of the equation by (1.210662717512) to get x
100/1.210662717512=x
82.599388379205=x
x=82.599388379205

now we have:
54.02 is 82.599388379205% of 65.4