Where does “Ágústsson” come from?

Ágústsson (Icelandic) comes from Icelandic ágúst, from Latin Augustus, from Proto-Indo-European h₂ewg-, from Proto-Indo-European h₂weg-, from Proto-Indo-European h₂ug-.

Ancestry of “Ágústsson”, step by step

Step	Language	Word	Meaning
1	Icelandic	ágúst	August
2	Latin	Augustus	venerable
3	Proto-Indo-European	h₂ewg-	to increase, to enlarge
4	Proto-Indo-European	h₂weg-	to increase, to enlarge
5	Proto-Indo-European	h₂ug-	—

Every word from Proto-Indo-European h₂ug- →Every word from Proto-Indo-European h₂weg- →Every word from Proto-Indo-European h₂ewg- →