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Percy Jackson (PJO) The fight takes place in saltwater so Percy is much stronger, durable and can heal very quickly. On land he would be easily overpowered but the ocean is basically a weapon he can use and it gives him a huge advantage.

Percy Jackson (PJO) Percy is way stronger than Annabeth and the fight takes place in an ocean, where Percy is much more powerful and hard to kill.

Maybe if the students of hogwarts (no teachers, house elves and centaurs) had to fight against a fully prepared camp Jupiter and camp half-blood with nymphs, satyrs, harpies, cyclops, hunters of Artemis, Amazon's and festus they would lose due to them not being trained primarily for combat alespiciaally younger students and also being on enemy territory but even then it would be close.