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Share-Based Compensation - Schedule of Unrecognized Compensation Cost (Details) $ in Millions	12 Months Ended
	Sep. 29, 2023 USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized Compensation Expense	$ 105.8
Time-Based Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized Compensation Expense	$ 16.6
Weighted-Average Period (Years)	2 years 6 months 10 days
Retention Time-Based Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized Compensation Expense	$ 6.2
Weighted-Average Period (Years)	1 year 7 months 2 days
RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized Compensation Expense	$ 59.7
Weighted-Average Period (Years)	2 years 4 months 20 days
PSU
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized Compensation Expense	$ 23.3
Weighted-Average Period (Years)	2 years 6 months 3 days

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Amount of cost not yet recognized for nonvested award under share-based payment arrangement.

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