No relevant answer can be given
Any Imperial poll or census would give you 100% (or 99%) support, because people would be afraid to vote otherwise (like in real world totalitarian states). Anyone else trying to get a census on a significant scale will very likely have problems with the Empire.
The Empire had no elections on a galaxy wide level, which could be considered 'free' or 'democratic'. Thus, no other politician, except the Emperor, could be considered an alternative, so in this sense, Palpatine would have a 100% rating.
Rebels were an active mobile minority and did not, like Clone Wars separatists, control entire planets or systems, giving a possibility to count their respective population as anti-Empire. We can only assume that on some remote worlds, the Empire had less degree of control, than on others, but level of control has nothing to do with support.
Given an opportunity (or under threat), a person could work for the Empire or the Rebels, as we frequently see in the movies, but it could be a result of circumstances, not a willing choice. For example, Han Solo wanted to join the Imperial army (or navy in the Legends), but was kicked out, and later reluctantly joined Luke Skywalker. But initially, he was there for money. Another example: Lando acted as an Imperial agent, but later switched allegiance, when he understood that he was cheated.
Add to the mixture a bunch of pirates, bounty hunters, smugglers, etc., who were loyal only to themselves, but could be hired for money by anyone willing to pay.