Stock-Based Compensation - Stock Option Awards, Additional Information (Details)	12 Months Ended
	Sep. 30, 2023 USD ($) installment $ / shares	Sep. 24, 2022 USD ($) $ / shares	Sep. 25, 2021 USD ($) $ / shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of vesting installments | installment	3
Dividend during expected term	$ 0
Time-Based Stock Option
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Exercise price percentage above market price	0.15
Expected life of option award (in years)	10 years
Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Expected life of option award (in years)	8 years	3 years 8 months 12 days	3 years 8 months 12 days
Dividend during expected term	$ 0	$ 0	$ 0
Stock price volatility (percent)	30.60%	31.10%	32.40%
Risk free interest rate	3.60%	1.70%	0.50%
Weighted average grant date fair value of options granted (in usd per share) | $ / shares	$ 15.37	$ 10.96	$ 10.50
Total intrinsic value of options exercised	$ 3,900,000	$ 6,100,000	$ 15,100,000
Total unrecognized compensation cost	$ 2,800,000
Weighted average vesting period (in years)	2 years
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	$ 25.79	$ 21.37	$ 13.82
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	$ 51.37	$ 51.37	$ 51.37
Restricted Stock Awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Total unrecognized compensation cost	$ 31,000,000
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	$ 28,000,000	$ 25,800,000	$ 23,100,000
Selling, General and Administrative Expenses | Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	3,800,000	4,900,000	5,600,000
Selling, General and Administrative Expenses | Restricted Stock Awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	16,300,000	13,700,000	10,700,000
Selling, General and Administrative Expenses | 401 (K)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	$ 7,900,000	$ 7,200,000	$ 6,800,000