12.4 is what percent of 11.25 - 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 11.25 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 11.25, so we can write it down as 100%=11.25.
4. We know, that x% equals 12.4 of the output value, so we can write it down as x%=12.4.
5. Now we have two simple equations:
1) 100%=11.25
2) x%=12.4
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%=11.25/12.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.4 is what percent of 11.25

100%/x%=11.25/12.4
(100/x)*x=(11.25/12.4)*x       - we multiply both sides of the equation by x
100=0.90725806451613*x       - we divide both sides of the equation by (0.90725806451613) to get x
100/0.90725806451613=x
110.22222222222=x
x=110.22222222222

now we have:
12.4 is 110.22222222222% of 11.25