So they are floating, and they can be up to 2000 m thick, according to antacticglaciers.org. So they definitely make a substantial contribution to the world's sea ice fraction.

Continuing with Kusky:

Ice shelves are found in Antarctica, Greenland, and along the polar seacoasts of the Canadian Arctic Islands. The largest ice shelves are contained in Antarctica, which contains 91% of the world's glacial ice, around 7% of which is contained in ice shelves. These ice shelves cover 50% of the coast of Antarctica, forming an area 1/10th the size of the continent.

If you don't take ice shelves into account, and only think about pack ice, you end up with about 0%, because pack ice is generally thinner than about 4 m, and so makes up a tiny fraction of global ice volume, in spite of its extensive area.

But if you do account for ice shelves, especially the southern ones, the answer must be much greater. I have not done the research to find the numbers, but the text I quoted suggests something less than 7%, so I'm going with 5% as a first-order, round-number guess.

Reference

Kusky, T M (2014), Encyclopedia of Earth Science, New York Academy of Sciences, 529 pp. In Google Books.