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Income Taxes (Narrative) (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 01, 2021	Oct. 02, 2020	Sep. 27, 2019	Apr. 02, 2021	Mar. 02, 2021	Sep. 28, 2018
Income Tax Contingency [Line Items]
Valuation allowance	$ 188,662	$ 140,578
Change in deferred tax asset valuation	48,100
Change in deferred tax assets valuation allowance, amount	38,928	0	$ (207)
Net operating losses	197,929	197,987
Gross unrecognized tax benefits	113,633	102,484	104,355			$ 179,140
Unrecognized tax benefits	113,633	102,484	104,355			$ 179,140
Unrecognized tax benefits that would impact effective tax rate	84,700
Accrued interest and penalties	41,600	40,400
Decrease in unrecognized tax benefits	5,500
Tax Rate Change	25,588	(6,811)	$ 0
Settlement with Taxing Authority
Income Tax Contingency [Line Items]
Decrease in unrecognized tax benefits	15,400
Accounting Standards Update 2013-11
Income Tax Contingency [Line Items]
Gross unrecognized tax benefits	91,900	93,400
Unrecognized tax benefits	91,900	93,400
Accounting Standards Update 2013-11 | Cumulative Effect, Period of Adoption, Adjustment
Income Tax Contingency [Line Items]
Gross unrecognized tax benefits	21,700	9,100
Unrecognized tax benefits	21,700	9,100
PA Consulting
Income Tax Contingency [Line Items]
Change in deferred tax assets valuation allowance, amount	4,600
PA Consulting Group Limited
Income Tax Contingency [Line Items]
Percentage of outstanding shares of common and preferred stock acquired					65.00%
Canada
Income Tax Contingency [Line Items]
Undistributed earnings of foreign subsidiaries				$ 4,400
India
Income Tax Contingency [Line Items]
Undistributed earnings of foreign subsidiaries				$ 7,700
Foreign Country
Income Tax Contingency [Line Items]
Loss carry forwards of foreign subsidiaries	760,400	$ 783,900
Foreign Country | Her Majesty's Revenue and Customs (HMRC)
Income Tax Contingency [Line Items]
Tax Rate Change	25,600
Foreign Country | United Kingdom
Income Tax Contingency [Line Items]
Change in deferred tax assets valuation allowance, amount	3,500
United States Federal Tax Authority
Income Tax Contingency [Line Items]
Change in deferred tax assets valuation allowance, amount	27,400
State and Local Jurisdiction
Income Tax Contingency [Line Items]
Operating loss carryforwards valuation allowance	11,700
Expiring Between 2022 and 2031 | Foreign Country
Income Tax Contingency [Line Items]
Loss carry forwards of foreign subsidiaries	87,700
Current Year Activity
Income Tax Contingency [Line Items]
Change in deferred tax assets valuation allowance, amount	$ 900

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