Well, perhaps Percy would initially mistake Thor for a new kind of demigod. Thor, on the other hand, would be intrigued by Percy's unique skills. They could exchange stories about their adventures. Percy would tell Thor about his quests in the Greek world, and Thor would share his tales of Asgard. And in the end, they might become friends and even learn new combat techniques from each other.
It's really hard to say. Thor has his mighty hammer and control over lightning, which is extremely powerful. But Percy has his own set of skills, like his ability to control water and his combat training as a demigod. In a direct fight, Thor's raw power might seem greater, but Percy's strategic thinking could give him an edge.
They might start with some mutual suspicion. Percy would be cautious around Thor as he's a very powerful being from a different mythology. Thor might see Percy as a bit of an oddity at first. But then they could start to exchange stories about their adventures. Percy could tell Thor about his battles with the Titans, and Thor could share his tales of fighting giants. This would lead to a newfound respect between them.
There are some great 'Thor meets Percy Jackson' fanfictions. Some focus on the culture shock between them. Percy being used to the Greek world and Thor from Asgard. They often have humorous exchanges as they learn about each other's worlds and powers.
In a fanfic where Percy Jackson meets Thor, there would be a clash of cultures as well as powers. Percy comes from a world of Greek mythology and Thor from Norse mythology. They might initially misunderstand each other's ways. However, once they start communicating, they could find common ground. Their powers could interact in unique ways. Percy's water powers could potentially cool down Thor's overheated hammer or something like that. And together they could create a whole new style of combat that combines the best of both their abilities.
A very creative 'Thor meets Percy Jackson' fanfiction involves the two being sent back in time to the creation of their respective mythologies. They have to make sure things happen as they should without changing history too much. It's full of interesting twists as they interact with the primordial beings of both mythologies.
In most Percy Jackson canon, there is no relation to Thor. However, in fanfiction, anything can be possible. It could be that the author has created a unique crossover where Percy Jackson has some connection to being the heir of Thor, perhaps through some magical or divine intervention that the fanfic writer has dreamed up.
One can anticipate some epic battles or challenges. Maybe they have to rescue a group of people trapped by a powerful sorcerer. During this, Thor would use his hammer and lightning powers, while Donald would use his wits and whatever resources he can find in his rather strange world. Their combined efforts would be a sight to behold.
Another possibility is that during a quest, Percy finds himself in a place related to Thor's history. It could be an old Norse temple or a realm connected to Thor. There, he discovers hidden records or runes that point to his relation to Thor. This discovery would not only shock him but also open up new storylines such as him exploring his Norse heritage along with his Greek demigod side.
He might inherit the power of lightning, just like Thor. So he could be able to summon lightning bolts during battles, which would be a great addition to his existing water - based powers.