57.96 is what percent of 53.323 - 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 53.323 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 53.323, so we can write it down as 100%=53.323.
4. We know, that x% equals 57.96 of the output value, so we can write it down as x%=57.96.
5. Now we have two simple equations:
1) 100%=53.323
2) x%=57.96
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%=53.323/57.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.96 is what percent of 53.323

100%/x%=53.323/57.96
(100/x)*x=(53.323/57.96)*x       - we multiply both sides of the equation by x
100=0.91999654934438*x       - we divide both sides of the equation by (0.91999654934438) to get x
100/0.91999654934438=x
108.6960598616=x
x=108.6960598616

now we have:
57.96 is 108.6960598616% of 53.323