I think Leicester have probably punched above their weight in getting Rodgers in, obviously what he achieved at Celtic doesn't really carry too much weight in terms of achievements in comparison to other Leagues but to go undefeated and win all the domestic trophies available in one season takes a bit of doing. He also leaves Celtic having done an unprecedented Double Treble and still in with a great chance of bettering that this season with a Treble Treble.
Ironic in a way that Neil Lennon was mentioned as a possible interim manager for Leicester until the summer but he has now gone back to Celtic to replace Rodgers.
There were spells last season and again this season where Celtic struggled to break teams down when they stayed compact and sat in but also other spells where they played some sparkling attacking football. Celtic's football during these tricky phases was very slow and predictable and more than a few teams found it easy to counter and hold them at bay. They also brought problems on themselves with the almost obsessive tactic of trying to play the ball out from the back which other teams found easy to deal with at times with high pressing.
Europe is always the real measure of a Celtic manager now, and Rodgers overall record there with Celtic is a bit so-so. He was limited at times by the Celtic money men who didn't back him properly at times during the transfer windows and always hedged their bets during the Champions League qualifying games rather than get players in first to try and ensure qualification.
I think this, and in particular the way Moussa Dembele left in last summer's transfer window with no plans in place to bring in a replacement and then left Celtic short-handed in terms of strikers and also losing their number one player in this department probably helped Rodgers decide to go for the Leicester job rather than wait for something bigger, for example Chelsea if Sarri goes.
Then again, maybe he just sees this job as a potential stepping stone to a bigger club.