Off means to remove something or someone from the surface.
Tip: If you can say something or someone is “on” something or someone, then you can use “off”.
- Get off of me.
- Get off the bus.
- Get off my back.
Out is used when something or someone is inside, and it goes outside.
Tip: If you can say something or someone is “in” something, then you can use “out”.
- We have to go out to the store.
- They want to go out of the house.
- I can't wait to get out of the office for a while.
- See more at: http://www.english-the-easy-way.com/Confusing_English/Out_Off.html#sthash.XQ0nHJzX.dpuf