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Share-Based Compensation - Performance Stock Units Activity Narrative (Details) - shares	12 Months Ended
	Sep. 29, 2023	Sep. 30, 2022	Oct. 13, 2023
2023 Stock Incentive Plan \| Subsequent Event
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares authorized			3,500,000
PSUs \| 2022 Performance Stock Unit Grants
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period	3 years	3 years
Requisite service period	4 years	3 years
PSUs \| Third Amended and Restated 2013 Stock Incentive Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period	3 years	3 years
PSUs \| Third Amended and Restated 2013 Stock Incentive Plan \| Share-Based Payment Arrangement, Two Third of PSU at Ending September 29, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period		2 years
PSUs \| Third Amended and Restated 2013 Stock Incentive Plan \| Share-Based Payment Arrangement, One-Third of PSU at Ending September 27, 2024
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period		1 year
PSU Actual Return on Invested Capital \| 2022 Performance Stock Unit Grants
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period		3 years
Requisite service period		3 years