The phrase "to find an identity" means to discover who you really are as a person, your values, beliefs, interests, and the things that make you unique. Full definition
Growing up with several different cultures allowed me to understand both the beauty and the struggle of finding your identity in this diverse country. (eddinscounseling.com)
And the big reveal was finding the identity of the concrete blonde (a murder victim buried in concrete). (screenwritingtricks.com)