I came away with a newfound appreciation for...

Translation language

Meaning

I developed a greater understanding and respect for...

John: After volunteering at the animal shelter, I came away with a newfound appreciation for the work they do.

Alice: I bet. It's incredibly demanding work.

John: Absolutely. I came away with a newfound appreciation for all the effort they put in.

Alice: It's rewarding, though, to make a real difference.