Click and drag box only selects when something is fully wrapped?

When I click and drag to select multiple things, I noticed (either its always been this way or I only just realized) that I can only select things when the box is completely enveloping what I'm trying to select.

Is there any way to change the select functionality so that my selection boxes touches any part of an object, that is it selected, instead of my selection box touching ALL of it? I'm sure there is a toggle or hotkey for this that maybe I hit accidentally?