It means 0.3% (rounded to one decimal place) or what we'd call "oh-point-three-recurring percent" or perhaps write as 0.3333333% or 0.3 with a dot on top of the 3 to indicate an infinite number of 3s.
Your question should be "What percentage is this?". In the same way we ask "What quantity is X?" instead of 'how much qu..x--x--x'.
The figure, 0.33%, is indeed slightly positive, though apparently it's *significantly/very positive* according to the context, and fair enough. Some systems have forces that serve to keep figures flat. Maybe even 0.1% would have been a lot for that year.
Say a high-school of population 1000 students increases it's enrollment total by 0.3%. Well that's only 3 students - probably not much, but yes it all depends on context.