What do colleges mean by "meeting 100% full need"?

So my EFC is approximately 2,000, which means based on my fafsa my family can contribute around 2,000. If a college meets full need, does that mean that I will have to pay only 2k per year? Will the money I receive from the 100% full need colleges come from grants loans work studies or what? If someone can clarify that would be great.

Also, on a side note
My parents made more income last year than this year but my EFC rose from 1.9k to 2k. How is this possible? Does this mean I did my FAFSA wrong or something?

It means that the college calculates an EFC for you, which may not necessarily be the same as the FAFSA EFC.

Then the college adds an expected student contribution (ESC) of work earnings that it expects you to earn (typically around $3,000-$5,000) and/or federal direct loans that it expects you to take out (up to $3,500 subsidized or $5,500 total frosh year) to produce a net price for you.