23.9 is what percent of 22.8 - 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 22.8 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 22.8, so we can write it down as 100%=22.8.
4. We know, that x% equals 23.9 of the output value, so we can write it down as x%=23.9.
5. Now we have two simple equations:
1) 100%=22.8
2) x%=23.9
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%=22.8/23.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.9 is what percent of 22.8

100%/x%=22.8/23.9
(100/x)*x=(22.8/23.9)*x       - we multiply both sides of the equation by x
100=0.95397489539749*x       - we divide both sides of the equation by (0.95397489539749) to get x
100/0.95397489539749=x
104.82456140351=x
x=104.82456140351

now we have:
23.9 is 104.82456140351% of 22.8