break through

(noun) a productive insight. Synonyms: discovery, breakthrough, find.

(noun) making an important discovery. Synonyms: breakthrough.

(noun) a penetration of a barrier such as an enemy's defense. Synonyms: breakthrough.

(verb) pass through (a barrier). Synonyms: break through, crack. Example: "Registrations cracked through the 30,000 mark in the county."

(verb) penetrate. Synonyms: break through, come through. Examples: "The sun broke through the clouds." "The rescue team broke through the wall in the mine shaft."

(verb) break out. Synonyms: erupt, come out, break through, push through. Example: "The tooth erupted and had to be extracted."