Stock-Based Compensation - Stock Option Awards, Additional Information (Details)	12 Months Ended
	Sep. 27, 2025 USD ($) $ / shares shares	Sep. 28, 2024 USD ($) $ / shares shares	Sep. 30, 2023 USD ($) $ / shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Dividend during expected term	$ 0
Granted (in shares) | shares	0	0
Time-Based Stock Option
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Exercise price percentage above market price			0.15
Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Dividend during expected term			$ 0
Expected life of option award (in years)			8 years
Stock price volatility (percent)			30.60%
Risk free interest rate			3.60%
Weighted average grant date fair value of options granted (in usd per share) | $ / shares			$ 12.29
Total intrinsic value of options exercised	$ 2,300,000	$ 12,000,000	$ 3,900,000
Stock Options | Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Outstanding options to purchase common stock (in usd per share) | $ / shares	$ 20.63	$ 20.63	$ 20.63
Stock Options | Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Outstanding options to purchase common stock (in usd per share) | $ / shares	$ 41.10	$ 41.10	$ 41.10
Restricted Stock Awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total unrecognized compensation cost	$ 19,900,000
Weighted average vesting period (in years)	3 years
Selling, General and Administrative Expenses
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	$ 21,100,000	$ 20,600,000	$ 28,000,000
Selling, General and Administrative Expenses | Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	200,000	700,000	3,800,000
Selling, General and Administrative Expenses | Restricted Stock Awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	13,200,000	13,100,000	16,300,000
Selling, General and Administrative Expenses | 401 (K)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	$ 7,700,000	$ 6,800,000	$ 7,900,000