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Fair Value of Financial Assets and Financial Liabilities (Details) - USD ($) $ in Millions	Apr. 01, 2022	Oct. 01, 2021
Fair Value Disclosure | Fair Value, Measurements, Recurring
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Fair value of debt	$ 7,806.0	$ 7,580.7
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	78.4	78.4
Carrying Value Disclosure
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Carrying value of debt	$ 7,793.7	$ 7,452.3

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