The results of the 2016 Parlemeter poll have recently been published. The Parlemeter surveys focus on how the European Parliament is viewed by Europeans, knowledge of the institution, EU membership, citizenship and political values.
This year’s results show that 53% of those interviewed believe being in the EU is good for their country. However 54% felt that “things are going in the wrong direction” (p.8 of the analytical overview).
The analytical overview is available to download from the the Eurobarometer Parlemeter 2016 site, as are the results from individual member states (download the national factsheets zip file from the further information section near the bottom of the page). Here is a link to the UK results.