Swiped one of my posts from another topic:
4: What buildings interact with the "tile" bonuses on planets? (i.e. +300% research, +100% approval) Is it only the +X buildings such as normal factories, or do +X% buildings like power plants receive them too? (I'm assuming super projects/galactic achievements do not work with these, but correct me if I am wrong)
It depends on what stat is being affected. If the stat has straight +x buildings, only those will be affected; this applies to factories, labs, and farms. Things like power plants, research coordination centers, and food distribution centers will not gain from the bonus tile.
If the stat has only +x% buildings, these will be affected by bonus tiles. This applies to influence and morale buildings, including things like the political capitol, counter espionage center, etc. It MAY apply even to negative bonuses (I haven't tested it, but I assume it works), but why anyone would build something like a Slave Canyon on an influence bonus tile is a question best left for another time.
Bonus tiles will NOT work on any building that affects your empire rather than only the planet it's on. Building the Restaurant of Eternity on an influence tile will get you no where. Same with trade goods.
Edit: seems the quote format got borked, but it's readable enough.