Wales was beaten 29-13 at Murrayfield in last February in a disappointing campaign that saw them finish second bottom.

However, the outcome was very different at the Principality Stadium on Saturday as Warren Gatland's side ran riot.

The host registered four tries in a 34-7 victory, a win that Williams said it "owed" Scotland after the reverse 12 months ago.

"We thought back to when we played them last year and we were really disappointed to lose that game," Williams said. "We fed off that really and we owed them one, and I thought we did that.

"I thought we showed glimpses of some really good stuff. To be a little bit harsh, we maybe left a couple of tries out there, but we're happy.

"It's a good start for us and something we can build on."

Next up for Wales is a trip to Twickenham to face defending champion England, which Williams conceded represents a tougher test.

"It's going to be a different challenge next week, but we've won there before so it's definitely doable," he said. "But we're going to have to be a step up again.

"We need to make sure we take our chances. We're probably not going to get as many chances so we need to make sure we take them."