122.56 is what percent of 95.75 - 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 95.75 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 95.75, so we can write it down as 100%=95.75.
4. We know, that x% equals 122.56 of the output value, so we can write it down as x%=122.56.
5. Now we have two simple equations:
1) 100%=95.75
2) x%=122.56
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%=95.75/122.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.56 is what percent of 95.75

100%/x%=95.75/122.56
(100/x)*x=(95.75/122.56)*x       - we multiply both sides of the equation by x
100=0.78125*x       - we divide both sides of the equation by (0.78125) to get x
100/0.78125=x
128=x
x=128

now we have:
122.56 is 128% of 95.75