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Equity-Based Compensation - Weighted Average Assumptions used in Option-Valuation Model (Detail) - OptionPlan
12 Months Ended
Oct. 01, 2022
Oct. 02, 2021
Oct. 03, 2020
Share-Based Payment Arrangement [Abstract]      
Risk-free interest rate 1.60% 1.20% 1.80%
Expected volatility 28.00% 30.00% 23.00%
Dividend yield 0.00% 0.03% 1.36%
Termination rate 5.80% 5.80% 5.80%
Exercise multiple 1.98 1.83 1.83