How does Gulliver get to the flying island

After they sail for three days, a storm arises, driving the ship to the north-northeast, where they are attacked by pirates. They are unable to defend themselves. Gulliver insults the captain of the pirate ship and as punishment is set adrift in "a small Canoe, with Paddles and a Sail, and four Days Provisions."

On the fifth day of sailing in his canoe, Gulliver reaches a small island, where he spends the night in restless sleep. In the morning he notices that what he thought was a cloud floating above the island is actually a floating island. Which characters are you referring to? Is it Gulliver or the people of Laputa?