After paceman Ishant Sharma claimed the final wicket when Nathan Lyon gloved a hook shot behind, Kohli charged in from the slips, leapt and punched the air in jubilation before wrapping up the long-haired bowler in a bear hug.
Well might the skipper be pleased. The only other time India won two tests in Australia was in 1977-78, when the home side were weakened by the World Series Cricket breakaway.
While a Bob Simpson-captained Australia won the deciding fifth test in that series, Kohli is convinced his own side can break new ground Down Under.
“You have to give everything that you have to win a series ... to win a series away from home, it has to be an obsession,” said Kohli, who has now won 11 tests away from home, equalling the India record of former skipper Sourav Ganguly.