You need to work backwards from load, or how you want to use the power. So far the only thing I've done with my 100W is charge my cell phones. While I have it on AGMs, with the weather so crappy here in Dec, I haven't been motivated to really test how much I can get in a day. Plus, I need to cut a very big tree down to double my production. After that, I want to test how long it can keep my landscape lights lit when spring comes. I'll be using some used AGM batteries I got off craigslist for that. I think they are something like 37-39Ah, and I use 2 in parallel.
My biggest problem is I have non LEDs up to 20W on the string. I doubt it can keep them going for long. So, I may have to restring the LEDs to be on a separate line. So, at the end of the day, I'll find out how much gas I get from the Sun during the day, then see how many hours they can keep the lights on at night. You have some good estimates above on what you can hope for. I'll make a note to report back in months what I can accomplish with the 100W panel when the tree is gone and I have the landscape setup in place.