They valued India a lot due to its vast resources and location. They called india Britain's "crown jewel" due to its extreme value to the empire.
Im sure it was mainly the idea of humanism. It changed the way people saw education, from knowledge to preparation for life. The humanist idea also bought upon the significance of the human body. Used within paintings and sculptures, a new idea of art was introduced completely
To establish their rule in africa imperialists needed superior fighting tools such as guns and ammunitions.
They however blended it with diplomacy and appeasement of local rulers to get protectionist treaties that would ratify their scamble and partition as outlined in the Berlin conference of 1881.
Respect for your elder and of superior station