Segments Segments (Sales Based on Customer Location and Property, Plant and Equipment by Geographic Area) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 02, 2021	Oct. 03, 2020	Sep. 28, 2019
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales	$ 2,851,993	$ 2,884,554	$ 2,904,663
Property, Plant and Equipment, Net	645,778	600,498	586,767
United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales	1,935,626	1,873,667	1,757,518
Property, Plant and Equipment, Net	438,851	389,454	365,136
Germany
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales	148,739	175,598	213,128
Japan
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales	108,813	159,025	166,690
UNITED KINGDOM
Revenues from External Customers and Long-Lived Assets [Line Items]
Property, Plant and Equipment, Net	62,662	58,888	56,253
Philippines
Revenues from External Customers and Long-Lived Assets [Line Items]
Property, Plant and Equipment, Net	35,851	37,270	61,910
Other (Non-US)
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales	658,815	676,264	767,327
Property, Plant and Equipment, Net	$ 108,414	$ 114,886	$ 103,468