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Share-Based Compensation - Schedule of Share-based Compensation by Plan (Details) - USD ($) $ in Thousands	12 Months Ended
	Oct. 03, 2025	Sep. 27, 2024	Sep. 29, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Recognized share-based compensation expense	$ 58,600	$ 62,600	$ 76,300
Taxes related to share-based compensation	9,500	10,200	13,000
Cash Received from Option Exercises	42,973	36,573	45,602
TBOs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Recognized share-based compensation expense	9,300	9,700	14,300
RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Recognized share-based compensation expense	31,500	32,500	43,500
PSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Recognized share-based compensation expense	13,100	14,900	9,700
Other
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Recognized share-based compensation expense	$ 4,700	$ 5,500	$ 8,800

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