Why did the British want the colonists to pay a greater portion of the cost of imperial governing?

The British felt justified in demanding the colonists to pay up in order to pay debts left from the French and Indian War.

Explanation:

You see, The British and French had colonies in the New World. Those colonies were like some kind of economic revenue that the nations could exploit. The French had a policy of trading with indigenous peoples while the English had a policy over dominating indigenous peoples and instigating wars. Those wars exacerbated mistrust between the indigenous chiefs and the colonists.

Decades later, The British and the French went to war in the 1750s over colonies. The British allied with the locals while the French allied with some other local tribes. In the end, the British won the majority of all French Colonies.

After the war, the colonists were taxed by Britain and felt since they were not represented in Parliament, they felt they didnt deserve to be taxed. This rift in opinion torwards independence can be attributed to all the colonial taxes that the british imposed on the colonists (future Americans)