Segment Reporting (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Jun. 30, 2024	Jun. 30, 2023	Jun. 30, 2024	Jun. 30, 2023
Net sales:
Total net sales	$ 942,340	$ 931,008	$ 2,782,003	$ 2,806,775
Segment operating earnings:
Segment operating earnings	71,770	90,125	200,467	248,121
Restructuring	383	397	361	18,077
Interest expense	20,707	18,654	58,544	53,262
Earnings before provision for income taxes	51,063	71,471	141,923	194,859
Operating segments
Segment operating earnings:
Segment operating earnings	133,691	137,379	375,782	415,594
Corporate
Segment operating earnings:
Unallocated expenses	61,538	46,857	174,954	149,396
SBS
Net sales:
Total net sales	536,536	534,932	1,573,015	1,614,650
SBS | Operating segments
Segment operating earnings:
Segment operating earnings	86,938	88,683	241,387	279,991
BSG
Net sales:
Total net sales	405,804	396,076	1,208,988	1,192,125
BSG | Operating segments
Segment operating earnings:
Segment operating earnings	$ 46,753	$ 48,696	$ 134,395	$ 135,603