137.83 is what percent of 96.25 - 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 96.25 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 96.25, so we can write it down as 100%=96.25.
4. We know, that x% equals 137.83 of the output value, so we can write it down as x%=137.83.
5. Now we have two simple equations:
1) 100%=96.25
2) x%=137.83
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%=96.25/137.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.83 is what percent of 96.25

100%/x%=96.25/137.83
(100/x)*x=(96.25/137.83)*x       - we multiply both sides of the equation by x
100=0.69832402234637*x       - we divide both sides of the equation by (0.69832402234637) to get x
100/0.69832402234637=x
143.2=x
x=143.2

now we have:
137.83 is 143.2% of 96.25