Segment Reporting (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Mar. 31, 2025	Mar. 31, 2024	Mar. 31, 2025	Mar. 31, 2024
Net sales:
Total net sales	$ 883,146	$ 908,361	$ 1,821,041	$ 1,839,663
Segment operating earnings:
Segment operating earnings	69,373	59,574	169,693	128,697
Restructuring	0	63	0	(22)
Interest expense	16,289	20,523	33,731	37,837
Earnings before provision for income taxes	53,084	39,051	135,962	90,860
Operating segments
Segment operating earnings:
Segment operating earnings	121,239	119,835	251,582	242,091
Corporate
Segment operating earnings:
Unallocated expenses	51,866	60,198	81,889	113,416
SBS
Net sales:
Total net sales	500,575	513,241	1,026,021	1,036,479
SBS | Operating segments
Segment operating earnings:
Segment operating earnings	77,305	76,820	157,179	154,449
BSG
Net sales:
Total net sales	382,571	395,120	795,020	803,184
BSG | Operating segments
Segment operating earnings:
Segment operating earnings	$ 43,934	$ 43,015	$ 94,403	$ 87,642