The hosts comfortably won by 218 runs at the Adelaide Oval to take a 2-0 series lead into their third match in Perth.
"It's enjoyable, there's no doubt about it," Clarke told reporters. "The thing that's most pleasing is we're finally getting the results.
"In England, where we didn't get the success we wanted, guys were still working exceptionally hard and we all believed a result wasn't far away."
Australia can reclaim The Ashes and end a run of three straight series defeats to England with another win in the third Test, which gets underway at the WACA in Perth on December 13.