The Israelite account gives the exact outcome, while the Assyrian inscriptions understandably maintain silence about the outcome. The Israelite narrative is backed up by both Berosus and Herodotus, who state that the Assyrian campaign ended in plague and defeat. (And by the way, I presume you mean to ask about Sennacherib, not Sargon, who is mentioned only in Isaiah 20:1 and who didn't attack Jerusalem.)

Roman siege on the Jerusalem ended with the sacking of the city. This was an infamous war.

No. The Northern Kingdom of Israel fell in 722 BCE. The Southern Kingdom of Judah suffered immensely from Assyrian attacks with over 20 major towns and cities leveled, but the capital of Jerusalem was able to withstand the Assyrian siege. It is unclear (archaeologically) why Judah was not conquered. According to the Bible, a plague destroyed both the strength and will of the Assyrians. According to the Assyrian writings on the matter, nothing is said save that the siege did not result in capture.

1. The splitting of the Israelite kingdom
2. The Assyrian conquest of Israel
3. Nevuchadnezzar's siege of Jerusalem
4. The Jewish diaspora (assuming you're not referring to the loss of the Ten Tribes)

The Siege is what sent Roman from Jericho. This ended the war.