Perfect, Perfection, Completeness
Noun, な adjective, and の adjective
かんぜん
トーフグは日々少しずつ完全のいきに近づいている。
Tofugu is approaching perfection little by little every day.
残念ながら、コウイチには完全なアリバイがあります。
Unfortunately, Koichi has a perfect alibi.
ああ、もう！お前のせいで完全に気が散っちゃったじゃないか！話したいことって何なんだよ。オフィスで飼う犬だっけか？
Oh jeez! Now you’ve completely distracted me. What was it that you wanted to talk about... office dog, was it?
When something is all perfect it is complete. Not only that, but it's perfect (because it's ALL perfect, not just partially so).
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.