Labor has finally made some headway in trying to reverse its reputational damage with voters, but parity with the Coalition remains elusive, today's Essential Report finds.

The economy, health and education remain the key issues for voters in determining how they will vote, with economic management rated by 66% of voters as one of their three most important issues, up from July this year. Health is rated by 57% of voters as important and education by 35%. Treatment of asylum seekers has fallen back to 6% after spiking at 10% in July.