in general
All houses have 220 V coming to the main panel. The panel has 2 sides of contacts, right and left with a center neutral bar. Since most household appliances, toaster, TVs, lights use 110 they just use one side of the panel or the other for circuits. To get 220 V you use BOTH sides of the panel and there's a double pole breaker that does that. It has 2 terminals for HOT rather than one, like for 110 V.
Your basement may have 220V, but it's unlikely that the garage will have it UNLESS the clothes dryer is out there or an electric hot water heater.
So when you want to wire up your new tool, consult a licensed electrician who will run the new wires from the main house panel and into your shop space. IF you have the clothes dryer outlet, he can make up a special adaptor wire for your new tool. This may also require permission from the person who does the laundry..... :yes: