Some Production and Planet Questions

In reading through the new manual, I see the following:

Social Production. The ability affects how much production can be put into social projects. Half of this ability is provided as bonus production (i.e. production that doesn’t cost any money).

Military Production. Same as above but for military projects.

What does this mean? Assuming no boni, what determines how much can be put into Social and Military spending. I'm assuming that this would be referred to as 100%, with, for example, a 10% Social bonus meaning I can spend 110% of something (I'm not sure what), but only being charged for 105%. What are the exact calculations and how do they relate to the planetary populations?

Also, is there a way to see what a planet's max population is, or is there no maximum? No where can you see what your increase/decrease in planetary population is, though there appears to be a spot for it on the Details screen.

~SDC~
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OK, here's another one I don't understand:

Research. This ability affects how fast your civilization researches new technologies. Half of this ability is put towards free bonus research production and the other half is added to your overall research production.

I'm the type of player who always clicked on my MoO2 planets to see how it was calculating my research, etc., so I'm starting to get a little antsy about not understanding how this game calculates things. Not that I understand MoO3, either....

~SDC~