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Fair Value of Financial Assets and Financial Liabilities (Details) - USD ($) $ in Thousands	3 Months Ended
	Dec. 31, 2021	Jan. 01, 2021	Oct. 01, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Cost of services provided (exclusive of depreciation and amortization)	$ 3,571,045	$ 2,535,627
Fair Value Disclosure | Fair Value, Measurements, Recurring
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fair value of debt	8,194,200		$ 7,580,700
Fair Value Disclosure | Fair Value, Measurements, Recurring | Next Level Hospitality
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Contingent consideration	78,400		78,400
Carrying Value Disclosure
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Carrying value of debt	$ 8,034,400		$ 7,452,300

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