Kim Kardashian says she and her family support her stepfather Bruce Jenner 100 percent as he goes through gender transition, even though family members are still adjusting to that news in what she called "a daily process."

Her appearance on NBC's "Today" show Monday followed Jenner's much-watched interview Friday on ABC's "20/20" when he publicly declared that he identifies as a woman.

Kardashian said that in going public, Jenner has found "inner peace and just pure happiness."

She congratulated him for his ability to be his "true self." She said she is happy that he is living his life the way he wants to live it.

She said, "It's not something that you or I could fully understand, but I don't even think we have to."