Goodwill and Intangible Assets - Schedule of changes in carrying amounts of goodwill (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2020	Sep. 30, 2019
Change in the carrying amounts of goodwill
Balance at the beginning of the period	$ 530,786	$ 535,925
Acquisitions	5,342	284
Foreign currency translation	3,910	(5,423)
Balance at the end of the period	540,038	530,786
Sally Beauty Supply
Change in the carrying amounts of goodwill
Balance at the beginning of the period	76,905	81,217
Acquisitions		284
Foreign currency translation	4,281	(4,596)
Balance at the end of the period	81,186	76,905
Beauty Systems Group
Change in the carrying amounts of goodwill
Balance at the beginning of the period	453,881	454,708
Acquisitions	5,342
Foreign currency translation	(371)	(827)
Balance at the end of the period	$ 458,852	$ 453,881