I don’t know if this is what you are looking for but above 1% engagement rate is good, 0,5%-0,99% is average and below 0,5% engagement likely means that you need to realign your messages to that of your audience’s expectations and in the process attract more compelling and engaging messages from your community members.

FANS /Average Engagement rate 0 -10k 0,96 % 10k – 20k 0,29 % 20k – 50k 0,21 % 50k – 100k 0,19 % 100k – 200k 0,16 % 200k – 500k 0,13 % 500k – 1 000 k 0,11 % 1 000k – ~ 0,09 %

These averages were calculated based on analytics from more than 500.000 Facebook pages – so should carry significant weight.