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Income Taxes - Effective Income Tax Rate Reconciliation (Details)	12 Months Ended
	Oct. 02, 2020	Sep. 27, 2019	Sep. 28, 2018
Income Tax Disclosure [Abstract]
United States statutory income tax rate	21.00%	21.00%	24.50%
Increase (decrease) in taxes, resulting from:
State income taxes, net of Federal tax benefit	3.00%	4.20%	3.20%
Foreign taxes	(3.90%)	2.20%	3.30%
Foreign goodwill impairment	(5.00%)	0.00%	0.00%
Permanent book/tax differences	(0.70%)	0.60%	(1.20%)
Uncertain tax positions	0.10%	0.00%	(0.30%)
U.S. Tax Reform - Remeasurement of deferred taxes	0.00%	0.00%	(49.30%)
U.S. Tax Reform - Foreign tax credit valuation allowance	0.00%	(2.30%)	2.80%
Stock compensation	3.60%	(0.20%)	0.00%
CARES Act - Carryback rate differential	9.80%	0.00%	0.00%
Sale of HCT	0.00%	(4.40%)	0.00%
Tax credits & other	0.90%	(1.70%)	(3.50%)
Effective income tax rate	28.80%	19.40%	(20.50%)
Foreign valuation allowance, percent	(3.40%)

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Effective Income Tax Rate Reconciliation, Change in Enacted Tax Rate, Cares Act, Percent

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Increase (decrease) in taxes, resulting from: [Abstract]

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