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https://eu4.paradoxwikis.com/Manpower
And the bonus does not add anything to the base manpower.
Ehm, even on the wiki it says that it increases your manpower and thus your manpower recovery. It's about what brings the most men. Not the % change relative to the total pool if you meant that.
I rather get 1k on 100k than 0,9 on 80k or something.
Also army tradition improves your recovery as well, so it's usually better to have a larger manpower pool than recovery speed.
I wanted to calculate the exact break even point, but unfortunately I dont have excel at this moment :'(
National Manpower Efficiency increases Manpower Efficiency per province, so it increases the Sum of Province Manpower. This in effect increases the Monthly Manpower Recovery.
I think you might better look again at it and try plugging some numbers in. National manpower modifiers increase the manpower pool and thus increases the manpower you get per month.
Let's assume the base manpower you get is 10.000. Now say your manpower sum of provinces was 10.000 and you have 0% recovery speed. Your manpower per month would be (10k + 10k)/120 = 166,67
With say a 30% national manpower modifier your sum would be 13.000 and per month you would get (10k + 13k)/120 = 191,67
With a 20% recovery speed instead of 30% national manpower, this would be:
(10k + 10k*120%)/120 = 183,33
So in terms of absolute manpower and regain you are better of with national modifiers. This is also because other factors yield more manpower this way (estate actions)