102.47 is what percent of 123.12 - 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 123.12 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 123.12, so we can write it down as 100%=123.12.
4. We know, that x% equals 102.47 of the output value, so we can write it down as x%=102.47.
5. Now we have two simple equations:
1) 100%=123.12
2) x%=102.47
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%=123.12/102.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.47 is what percent of 123.12

100%/x%=123.12/102.47
(100/x)*x=(123.12/102.47)*x       - we multiply both sides of the equation by x
100=1.2015223967991*x       - we divide both sides of the equation by (1.2015223967991) to get x
100/1.2015223967991=x
83.227745289149=x
x=83.227745289149

now we have:
102.47 is 83.227745289149% of 123.12