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Share-Based Compensation - Schedule of Unrecognized Compensation Cost (Details) $ in Millions	12 Months Ended
	Oct. 03, 2025 USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized Compensation Expense	$ 119.4
TBOs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized Compensation Expense	$ 20.4
Weighted-Average Period (Years)	2 years 7 months 13 days
RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized Compensation Expense	$ 69.4
Weighted-Average Period (Years)	2 years 6 months 21 days
PSU
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized Compensation Expense	$ 29.6
Weighted-Average Period (Years)	1 year 9 months 18 days

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

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