49.73 is what percent of 96.16 - 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 96.16 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 96.16, so we can write it down as 100%=96.16.
4. We know, that x% equals 49.73 of the output value, so we can write it down as x%=49.73.
5. Now we have two simple equations:
1) 100%=96.16
2) x%=49.73
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%=96.16/49.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.73 is what percent of 96.16

100%/x%=96.16/49.73
(100/x)*x=(96.16/49.73)*x       - we multiply both sides of the equation by x
100=1.933641664991*x       - we divide both sides of the equation by (1.933641664991) to get x
100/1.933641664991=x
51.715890183028=x
x=51.715890183028

now we have:
49.73 is 51.715890183028% of 96.16