102.5 is what percent of 123 - 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 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, so we can write it down as 100%=123.
4. We know, that x% equals 102.5 of the output value, so we can write it down as x%=102.5.
5. Now we have two simple equations:
1) 100%=123
2) x%=102.5
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%=123/102.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.5 is what percent of 123

100%/x%=123/102.5
(100/x)*x=(123/102.5)*x       - we multiply both sides of the equation by x
100=1.2*x       - we divide both sides of the equation by (1.2) to get x
100/1.2=x
83.333333333333=x
x=83.333333333333

now we have:
102.5 is 83.333333333333% of 123