96 is what percent of 123.5 - 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 123.5 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 123.5, so we can write it down as 100%=123.5.
4. We know, that x% equals 96 of the output value, so we can write it down as x%=96.
5. Now we have two simple equations:
1) 100%=123.5
2) x%=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%=123.5/96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96 is what percent of 123.5

100%/x%=123.5/96
(100/x)*x=(123.5/96)*x       - we multiply both sides of the equation by x
100=1.2864583333333*x       - we divide both sides of the equation by (1.2864583333333) to get x
100/1.2864583333333=x
77.732793522267=x
x=77.732793522267

now we have:
96 is 77.732793522267% of 123.5