54.64 is what percent of 57.36 - 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 57.36 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 57.36, so we can write it down as 100%=57.36.
4. We know, that x% equals 54.64 of the output value, so we can write it down as x%=54.64.
5. Now we have two simple equations:
1) 100%=57.36
2) x%=54.64
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%=57.36/54.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54.64 is what percent of 57.36

100%/x%=57.36/54.64
(100/x)*x=(57.36/54.64)*x       - we multiply both sides of the equation by x
100=1.0497803806735*x       - we divide both sides of the equation by (1.0497803806735) to get x
100/1.0497803806735=x
95.258019525802=x
x=95.258019525802

now we have:
54.64 is 95.258019525802% of 57.36