India strengthened its position as the number one team in the world and maintained the Border-Gavaskar Trophy with a historic win from 2-1.
India had beaten Australia's tail in Sydney four days ago when bad light and rain permitted only 100 minutes of play, and the hosts made 622 runs in seven wickets in 300 balls.
After that Australia had to face the odds of being forced to leave home for the first time in 30 years as Kohli knocked the knife.
Only four overs of his second innings were possible, in which Marcus Harris made two and Usman Khawaja scored four not out.
Kohli said, "I want to say that I never felt too proud to be part of the team."
"The boys make the captain good." So far, this is my biggest achievement, it's on top of the heap. "
Australia captain Tim Penn paid tribute to India.
They said, & # 39; India will have to give their hat tip, we know how difficult it is to win in Australia, so we congratulate Virat and (coach) Ravi (Shastri) because this is a huge achievement. The & # 39;
"Frustrated, definitely in the last two Tests. We had our chances in Adelaide, in Perth, I thought we had played some good cricket, but in Melbourne and Sydney, we have done the outplayed."
India reached the series with a winning start of 31 on the penultimate day in Adelaide, with the best opening win – their first Test victory in Australia for a decade.
This victory made Pujara's first innings of 123 and his second innings 71, while wicketkeeper Rishabh Pant made a world record for catching 11 catches.
Australia, returning to Perth, won the series by 146 runs.
This was a great relief for the domestic side, who did not win a Test after the "Sandpaggate" scandal scam in international cricket last March.
But another century of Pujara in Melbourne set the audience for a big first innings and when Australia made the captaincy in response to the 151, then India was set to take a strange situation in the series coming to Sydney .
In addition to Pujara of the human series, a large part of his success in Australia is practicing his bowling plans to deprive Australian batsmen of playing their shots.
Bharat Arun, the bowling coach of India, said that the successful strategy developed in the past against the mistakes made in the Test against South Africa and England last year.
He said, I think that the two visits were an excellent experience for us and that helped us come to Australia and perform well.
"We said that in order to be successful in Australia, we need to ensure that we need the cut and pull-out of Australian batsmen and then focus on the attack on their strength, so that's what we did."
While virtually all the leading batsmen of Australia started, no one has changed them in the big innings, underlining how much they miss the restricted Steve Smith and David Warner.
In Sydney, none of Harris's 79 of his batsmen managed the entire series, who made the first four Test home series of the hosts without making a century in their history.
(With AFP inputs)