I think you would feel everything. From the feeling of turning into mush and then the feeling of filling up a container to probably nothing afterwards.
Imagine walking down the street with friends and suddenly this happening.
LIke you start feeling a wetness in your pants and you think you pissed yourself but then you start to see flesh coloured liquid coming out of your pants and you start getting all weak.
You call out to your pals and they turn around and start screaming because at this point most of you is on the ground probably dripping into a sewer.