First off sorry if I'm just wrong with me trying to figure this out below are two pictures from my game the first showing how influence is calculated according to the popup. It shows a total of 80ip of which "25 is from the planet + 4 from population + 45 from improvements / misc. + 0 from my influence ability + 6 from my civilization = 80.
My question is in the next picture it shows civ capitol gives a 50% influence bonus, the Innovation Complex gives a 50% influence bonus, plus the 100% influence tile bonus. On the bottom of the summery screen it shows total influence bonus 150%.
Looking at this first of all if I add 50 + 50 + 100 I get 200% bonus not 150% if I take 50% and 50% of that is 75% and 100% of that = 150% which is what I figure they do but, I don't understand why your bonus is cut short that way essentially loosing 50% but, if its uniform I guess it doesn't really matter.
The second question is looking at the origional formula for this 150% of the planets 25 influence gives me 62.5 points not 45 from improvements / misc. so why am I loosing 17.5 points of influence?
Here are the pictures.

and the second is.