However, you could use phrases that are similar in meaning and could be considered near-homophones, depending on the context:
* Had a grasp of: This implies a basic level of understanding.
* Had a handle on: This suggests a more practical understanding, often with the ability to manage something.
* Had a feel for: This implies an intuitive or instinctive understanding.
Ultimately, the best way to replace "had an understanding of" depends on the specific situation and the intended meaning.