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Equity-Based Compensation - Weighted Average Assumptions used in Option-Valuation Model (Detail) - OptionPlan
12 Months Ended
Sep. 28, 2024
Sep. 30, 2023
Oct. 01, 2022
Share-Based Payment Arrangement [Abstract]      
Risk-free interest rate 4.00% 3.60% 1.60%
Expected volatility 27.00% 31.00% 28.00%
Dividend yield 0.66% 0.00% 0.00%
Termination rate 6.10% 5.90% 5.80%
Exercise multiple 2.12 1.98 1.98