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Stockholders' Equity and Stock-Based Compensation - Stock-Based Compensation Expense in Consolidated Statement of Operations (Detail) - USD ($) shares in Thousands, $ in Millions		12 Months Ended
	Dec. 08, 2022	Sep. 30, 2023	Sep. 24, 2022	Sep. 25, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense		$ 79.6	$ 66.7	$ 65.0
Employee Service Share-based Compensation, Tax Benefit from Compensation Expense		$ 10.7	8.6	7.9
2008 Equity Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Additional Shares Authorized	6,500
Common stock, shares authorized		38,000
Cost of revenues
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense		$ 10.5	9.1	8.0
Research and development
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense		10.5	8.8	7.7
Selling and marketing
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense		12.0	10.5	9.5
General and Administrative Expense
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense		46.6	38.3	38.9
Restructuring Charges
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense		$ 0.0	$ 0.0	$ 0.9

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