Europe's ideas spread mostly through the Europeans colonizing the world. If the Europeans never (practically) took over the world at one time or another, then you wouldn't see as much of a European influence. For example, maybe there wouldn't be larger European populations in the Americas and Australia, and Christianity wouldn't have the billions of followers it does today, and democracy wouldn't be as wide spread.
Ideas and inventions spread with trade in Europe and Asia.
The Tang Dynasty
Silk Road.
The bubonic plague started in Asia and spread to Europe.
Asia & Europe
It spread to all of Europe and Italy.
John Calvin's religious ideas were spread to North America from Europe. "John Calvin's Protestant teachings were spread across Europe and into North America."
The Roman Empire included parts of Europe, Africa and Asia.
Printing press.
Ideas and inventions spread with trade between Europe and Asia.
India and china
Plagerism