So u have a ratio of 1:1 for the german divisions and a ratio of 1:3 for the US divisions.
This is really interesting aspect, I never thought about the rear services!
Well, now I definitely have to think about how the rear services can affect the concept of MP and its calculation..
After thinking and searching for information, I came to these conclusions:
1. It is obvious that the rear services do not affect the annual (daily in the mechanics of Hoi) MP increase in both peacetime and wartime. So all calculations and MP growth factors do not change.
2. Rear services affect the maximum number of starting/backup MP in the MP pool.
Regardless of the MP-pool reserve concept (in Hoi-2, this full MP reserve is fully available from the start of the game, in DH-Full, this full MP reserve is "hidden" at the start of the game and becomes available gradually as the mobilization slider moves) - both concepts have any "starting basic MP reserve".
Therefore, the question of rear services and the starting reserve of MP in the MP-pool is related to what we understand by this starting reserve of MP?
In my understanding, the starting reserve of the MP is the number of potential reservists who can be mobilized as a several mobilized-ages.
But how many mobilized-ages should we include in this starting basic MP pool?
Should it be only the "first", most efficient wave of mobilization of men 20-29 years old?
Or other waves of mobilization, less combat-ready and older ages 30-39 or even 40-49 years old?
Or any other segments of ages?
I believe that just in this matter we should not rely on Realism (for each country WW2 required the call of different groups of draft ages), but on the Gameplay.
Since I was used to the Hoi-2 balance, I used the same familiar MP balance, which provides a good and familiar gameplay - the starting MP pool gets 30 MP for every 1 million people (1 MP on the map) for dictatorships, 25 MP for democracies and apparently 20 MP for the United States since they have a ratio of "1 to 3".
When all this starting pool is exhausted and distributed among divisions, this number of all used MP roughly corresponds to the "first" wave of mobilization of men of 10 mobilized-ages - from 20 to 29 years.
OK, let the rear services require the same number of personnel - for this we still have men of 30-60 years old, women and men who have failed the medical examination for hot areas of the front. In general, this "invisible stock" is more than enough to fill all "invisible rear services" in Hoi.
Therefore, it turns out that "invisible rear services" do not affect current MP-coefficients in Misc-file and current size of the MP-pool.
Moreover, by the way, I am not at all sure that all these rear-personnel are exactly military personnel, for sure among them there is a very significant percentage of civilians who do not belong to the "game-MP".
Also, such groups of rear officers as students of officer and non-commissioned schools, for the concepts of Hoi, do not belong to the rear-personnel - definitely they all are a part of free MP in the MP pool, because sooner or later they will go to replenish divisions at the front!
We also have to subtract all the female rear-personnel.
Therefore, the ratio of "1 to 1", for Hoi should be recalculated and will be another, for example, 1 to 0.5 or any other, but it need to be calculated - to subtract from the rear-personnel of all students of military education, civilians and women.
By the way, at the first attempt I could not find any information at all on the total number of personnel in the rear services of the Red Army.
And accordingly, I could not find or calculate the ratio of "front-line" personnel and rear-personnel for the Soviets. Obviously, I also could not find data on how many civilians and women were there.
It remains a mystery shrouded in darkness.
I'm not sure that I can make correct conclusions about the number of soviet rear-personnel from the table you showed.
I only could find very outdated information for the peacetime, for 1928. There is reported that the number of rear-personnel in the USSR is 18% of the entire army (9% - military establishments, 9% - supplies), and in France, the rear services are only 8% (!) of the entire army.