most days i'm under 100g as well, frequently under 75. for me thats less in carbs than in fat. mine is more like 45 protein/35 fat/20 carb
And no, eating fat doesn't make you put on fat, eating more calories than you use does. Carbs actually put on fat more easily than eating fat does.
Cows eat grass and weeds only, and look how fatty beef is.