Segment Reporting (Details) - USD ($) $ in Thousands	3 Months Ended
	Dec. 31, 2024	Dec. 31, 2023
Net sales:
Total net sales	$ 937,895	$ 931,302
Segment operating earnings:
Segment operating earnings	100,320	69,123
Restructuring	0	(85)
Interest expense	17,442	17,314
Earnings before provision for income taxes	82,878	51,809
Operating segments
Segment operating earnings:
Segment operating earnings	130,343	122,256
Corporate
Segment operating earnings:
Unallocated expenses	30,023	53,218
SBS
Net sales:
Total net sales	525,446	523,238
SBS | Operating segments
Segment operating earnings:
Segment operating earnings	79,874	77,629
BSG
Net sales:
Total net sales	412,449	408,064
BSG | Operating segments
Segment operating earnings:
Segment operating earnings	$ 50,469	$ 44,627