What happened to the former colonial possessions of europe?

Before the War of American revolution, 13 British colonies were the dominate power in the North America.

After the British left, these 13 colonies became the independent United States of America.

Other territories such as Louisiana was control by the French Empire. The United States government was able to buy it and turn it into a US state.

Spanish controlled territory in North America eventually became the independent country of Mexico, while the northern most territory on the continent became Canada.

The English colonies became the United States. America later bought the Louisiana territory from France and the rest of their territory became Canada. Spanish territory became Mexico.