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Share-Based Compensation - Narrative (Details) - shares
12 Months Ended
Oct. 03, 2025
Sep. 27, 2024
Sep. 29, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Common stock, shares authorized (in shares) 600,000,000 600,000,000  
Forfeiture rate 9.00% 9.00% 9.00%
Company's Stock Incentive Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Common stock, shares authorized (in shares) 45,000,000