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.
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.
There could be Annabeth. She is Percy's close friend and often plays a crucial role in Percy's adventures. In a situation where Thor kneels to Percy, she might be there to witness it and offer her own thoughts or reactions.
One possible reason could be that Percy has shown some extraordinary power that even Thor, a powerful god, respects. Maybe Percy has defeated a common enemy in a really remarkable way that makes Thor recognize his strength and kneel in admiration.
The 'fish - out - of - water' trope is also seen a lot. When Percy ends up in Thor's world or vice versa, they are both out of their element. Percy has to deal with the strange Norse landscapes and customs, while Thor might struggle with the modern - day world if he goes to Percy's. It creates a lot of comical and interesting situations in the fanfiction.
One great 'Percy Jackson Thor Fanfiction' is 'The Godly Alliance'. It combines the worlds of Percy Jackson and Thor in an exciting way. The author does a great job of mixing the different mythologies. Percy's skills blend well with Thor's godly powers, making for some really cool action scenes.
In a fanfiction where Percy Jackson fights Thor, Percy's water powers could be a huge advantage. He could create giant waves or even use water to disorient Thor. But Thor has his mighty hammer, Mjolnir, which can control lightning. It could be an epic battle of elemental forces. Percy might try to use his speed and agility to dodge Thor's attacks while looking for an opening to strike back with his sword, Riptide.
Percy would likely be very critical of their lifestyle. He comes from a world where family is important and they support each other in the face of danger. The Dursleys, on the other hand, seem to shun anything out of the ordinary and are unkind to Harry. Percy might try to show them a different way of living, with more love and acceptance, though they probably wouldn't listen.
It's hard to say who would win. Percy has his water - based powers and his sword, which can be very effective. But Thor has his hammer and the power of lightning. It could go either way depending on how the fight is written.