Usually people take the production budget and multiple it by 2 to take the marketing budget into consideration. ST:B cost $185M to make, but we know they didn't spend $185M on marketing. We got a couple of trailers and a small amount of TV spots, some character posters, FB posts and clips, etc.
The marketing budget for The Amazing Spider-Man 2 cost a little under $190M, and it really shows. They had several theatrical trailers, multiple alternate and international trailers, a superbowl trailer, a trailer at Times square for New Year's Eve, multiple featurettes, 20+ TV spots, and much much more. Over 20 minutes of the actual film were released throughout marketing, and it made people sick of the movie before it came out.
I wouldn't be surprised if the marketing budget for ST:B was closer to around $100M if not less.