Percy would probably have a hard time at first. He's used to the world of demigods and Greek mythology. But he's also adaptable. He'd learn about the vampires and werewolves in Mystic Falls. Maybe he'd start by making friends with some of the more normal humans in town to get a feel for the place.
To adapt to Mystic Falls, Percy Jackson would have to quickly understand the power dynamics there. The vampires like Klaus and Damon have their own rules and territories. Percy, with his demigod abilities, could find a place among them. He might use his powers to gain respect. For example, his ability to survive in dangerous situations could be very useful when dealing with the dangerous vampires. He would also have to get used to the different social environment, like the high school drama which is different from what he's used to in the demigod world.
Well, Percy Jackson's interaction with the Mystic Falls characters would be really interesting. He'd see the vampires' abilities as something different but not entirely unfamiliar, given his experience with all sorts of mythical creatures. He could start off by being a bit of an outsider, but as he gets to know them, he'd start to bond. For instance, he might help Bonnie with her magic, sharing his knowledge of the gods' magic. With Caroline, he might be amused by her perky and determined personality. And when it comes to Klaus, Percy would be on high alert, ready to use his powers if Klaus made any wrong moves, but also trying to understand his motives as he's used to dealing with complex and powerful enemies.
He'd have to learn the new rules. Percy is used to the Greek pantheon's way of doing things, but in Asgard, it's a whole different ballgame. He'd probably start by observing how the Norse gods and their followers interact. And he might use his charm, which has served him well in the Greek world, to make friends among the Norse.
He'd probably have a hard time at first. The weather in Forks is very different from what he's used to. Also, the small - town atmosphere might be a bit suffocating for someone who's used to the more adventurous life of a demigod. But he'd adapt by using his skills. His athleticism from all his training as a demigod would make him stand out in school sports, which could be a way for him to make friends.
Well, he might find himself in the middle of all the supernatural chaos in Mystic Falls. He could use his demigod powers to deal with vampires and werewolves. Maybe he'd form an alliance with some of the locals, like Elena or Stefan, and together they'd face new threats that neither has faced before.
Well, Percy might be really confused at first. Mystic Falls has all those vampires and supernatural stuff, while he's used to Greek gods and monsters. He could probably use his water powers to his advantage, like putting out any fires started by vampires or something. Maybe he'd make some new friends among the Mystic Falls gang, or he could end up in a fight with some of the bad vampires who might see him as a threat to their power in the town.
In this fanfiction scenario, Percy's adaptation to Hogwarts would be a complex process. He'd first have to deal with the cultural shock of a new magical world. The Hogwarts houses would be different from the cabins at Camp Half - Blood. He'd need to figure out which house he belongs in. His skills with a sword might not be as useful as in his own world, but he could learn to use magic to enhance his combat abilities. Also, he'd have to make new friends and enemies, and learn how to navigate the social politics of Hogwarts while still holding on to his own identity as a demigod.
In a fanfiction, Percy's adaptation to Hogwarts would be a bumpy but interesting ride. He'd be constantly comparing Hogwarts to Camp Half - Blood in his head. At first, he might struggle with the lack of open combat training like he has at camp. But he'd discover that the dueling club at Hogwarts can be a substitute. He'd have to adapt to the different social hierarchies too. The pure - blood, half - blood, and Muggle - born concepts would be new to him. He'd probably see similarities to the god - parent, demigod, and mortal distinctions in his world. His loyalty to his friends from Camp Half - Blood would remain strong, but he'd gradually develop new loyalties at Hogwarts as well.
Percy would likely first be shocked by the cold in Skyrim. But he'd quickly adapt his powers. He could use his control over water to deal with the snow and ice, maybe even creating steam to warm himself up. His fighting skills with a sword from his demigod training would be useful against the bandits and monsters in Skyrim.
Percy would need to learn how to be stealthy. He's used to fighting out in the open as a demigod, but as a ninja, he'd have to blend into the shadows. He could use his powers over water to create distractions or cover his movements, like making a mist to hide in.
Percy would probably have to adapt to the different cultural norms. For instance, the Soviet Union had a very different social and political structure compared to what Percy is used to. He might initially struggle with the more collective mindset. However, his ability to adapt quickly, which he has developed from his various adventures in the Percy Jackson series, would help him. He could start by learning the Soviet language, which would be essential for communication.