Segments Segments (Sales Based on Customer Location and Property, Plant and Equipment by Geographic Area) (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Oct. 03, 2020	Jun. 27, 2020	Mar. 28, 2020	Dec. 28, 2019	Sep. 28, 2019	Jun. 29, 2019	Mar. 30, 2019	Dec. 29, 2018	Oct. 03, 2020	Sep. 28, 2019	Sep. 29, 2018
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales	$ 706,895	$ 657,539	$ 765,277	$ 754,843	$ 765,207	$ 740,969	$ 718,811	$ 679,676	$ 2,884,554	$ 2,904,663	$ 2,709,468
Property, Plant and Equipment, Net	600,498				586,767				600,498	586,767	552,865
United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales									1,873,667	1,757,518	1,592,513
Property, Plant and Equipment, Net	389,454				365,136				389,454	365,136	325,088
Germany
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales									175,598	213,128	202,676
Japan
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales									159,025	166,690	158,686
France
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales									86,759	143,019	138,054
UNITED KINGDOM
Revenues from External Customers and Long-Lived Assets [Line Items]
Property, Plant and Equipment, Net	58,888				56,253				58,888	56,253	61,438
Philippines
Revenues from External Customers and Long-Lived Assets [Line Items]
Property, Plant and Equipment, Net	37,270				61,910				37,270	61,910	63,870
Other (Non-US)
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales									589,505	624,308	617,539
Property, Plant and Equipment, Net	$ 114,886				$ 103,468				$ 114,886	$ 103,468	$ 102,469