Answer: Both were minority groups ruling large majority groups
Explanation:
Both the Mughal Empire of India and the Manchu Dynasty of China were minority groups ruling over subjects of the majority group.
In the case of the Mughal empire which ruled India for most of the 16th and 17th centuries, the rulers were Muslims and yet presided over the affairs of a large Hindu majority constantly having to find a balance between these two main religions in order to maintain peace.
The Manchu dynasty was the last dynasty of China and ruled from the 17th till the early 20th century. The Manchu people are an ethnic minority in China who during the Manchu dynasty ruled over the more major Han Chinese.