How do you hook up a sub panel box for 220 and 110?

You bring in the two phases from the main panel plus a neutral wire and a ground wire.

you land the two hot wires on the two hot lugs at the top of the panel and the neutral wire to the neutral buss.and the ground wire to the ground buss strip.

when you take power from a single breaker and the neutral, its 110.

when you pull power from both hots on a 2 pole breaker with no neutral, its 220

If you dont have a set of lugs at the top, you can feed into a two pole breaker mounted in the panel.Make sure your panel has a two phase lug mount.

to check to make sure, with the breaker mounted and no power wires connected and all the breakers except your new 2 pole breaker off. use an ohm meter to make sure that there is no conductivity between the two pole breaker terminals. if there is conductivity, thre panel is not suitable to feed with 220, its a 110 panel, with only one phase back board.