break through

verbs

pass through (a barrier)
"Registrations cracked through the 30,000 mark in the county"
break through, crack
penetrate
"The sun broke through the clouds"; "The rescue team broke through the wall in the mine shaft"
break through, come through
is derived from
breakthrough
break out
"The tooth erupted and had to be extracted"
break through, come out, erupt, push through