Reportable Segments - Schedule of Reportable Segments Information (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Mar. 30, 2024	Apr. 01, 2023	Mar. 30, 2024	Apr. 01, 2023	Sep. 30, 2023
Net sales	$ 966,900	$ 1,070,823	$ 1,949,507	$ 2,164,748
Operating income (loss):	29,470	56,942	74,628	114,283
Total assets	3,276,657		3,276,657		$ 3,321,172
Other income (expense):
Interest expense	(8,293)	(8,287)	(15,910)	(15,181)
Interest income	817	759	1,625	1,693
Miscellaneous, net	(3,027)	(1,612)	(6,529)	(3,556)
Income before income taxes	18,967	47,802	53,814	97,239
Elimination of inter-segment sales
Net sales	(30,636)	(26,047)	(56,148)	(53,061)
Corporate and other costs
Operating income (loss):	(48,466)	(40,432)	(83,239)	(78,273)
Corporate and eliminations
Total assets	99,237		99,237		37,623
AMER | Operating Segments
Net sales	321,782	407,806	655,479	797,468
Operating income (loss):	4,978	25,767	13,727	43,182
Total assets	1,047,671		1,047,671		1,124,555
APAC | Operating Segments
Net sales	520,992	587,270	1,073,476	1,229,174
Operating income (loss):	67,213	69,728	138,632	148,134
Total assets	1,618,174		1,618,174		1,696,795
EMEA | Operating Segments
Net sales	154,762	101,794	276,700	191,167
Operating income (loss):	5,745	$ 1,879	5,508	$ 1,240
Total assets	$ 511,575		$ 511,575		$ 462,199