Now it appears it's not that clear. It's the excess of sugar in everything that overloads your bodies temporary stores of glycogen in the muscles and liver, which is then stored as fat, since your body can easily transform sugars into fats.
To see how that looks you can track the obesity numbers in US, the more "0%!" fat products are propped up with suger over the years, the larger the obesity crowd.
I don't think the final word is out yet, but the _cause_ of fat in your body, is not necessarily the fat that you eat.