check the panel that feeds the shop panel. Make sure there's a 100 amp, 2 pole breaker on that panel also. Just cause the panel label says 100 amp doesn't mean its actually fed with a 100 amp circuit. Ive seen 100 amp panels with 100 amp main breakers fed off of a main panel with a 50 amp breaker and #6 alum wire.
at the least you should have 2 aluminum feeders running from shop to main panel. I doubt they wired it with copper wire due to the costs involved. almost everyone uses aluminum feeders for the sub-panels these days. as long as the ends are lugged down tight, alum is a fine conductor. The powerlines in the street are aluminum. If they are alum it will be stamped 2XHHW or some such.
if both have 100 amp breakers you should be fine. agree that most stick welders use 50 amp, 240
most large migs will also work on this circuit. Some smaller migs only need 30 amp, 240 volt or even110 volt.
im an electrical contractor..been doing this a long time. I agree also with the outlet indoors and a longer extension cord, but that depends on how far the shop panel is from the door.
As far as doing all the welding outdoors goes, ive wired alot of welding shops in my life, and they all weld indoors in the warm air. Just make a welding bench that can be moved towards the center, away from the walls. BUY GOOD FIRE EXTINGUISHERS
I have a portable outside air device that feeds outside air to a face mask. I use this when plasma cutting, welding or painting in the shop. They only cost 100-150 bucks, feed off of a 50 foot long garden type hose, and add alot of safety to breathing fumes.