How are the Declaration of Independence and the Declaration of the Rights of Man and Citizen different?

The Declaration of Independence was written to declare independence from a mother country and start another, completely separate, country. The Declaration of the Rights of Man and Citizen was actually more like the Bill of Rights in that it lists the rights of the common citizen and what the government cannot or should not do. It tells that the French want a new form of government. They are not breaking away from their country, they are breaking away from their king and old form of government.