Equity Plans - Additional Information (Details) - USD ($) shares in Thousands, $ in Millions	3 Months Ended		6 Months Ended
	Mar. 01, 2024	Feb. 24, 2023	Mar. 01, 2024	Feb. 24, 2023
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Ordinary shares, available for issuance (in shares)	7,300		7,300
Unrecognized compensation costs related to awards	$ 0.5		$ 0.5
Unrecognized compensation costs recognition period			6 months
Income tax benefits for share-based awards	1.7	$ 1.6	$ 3.5	$ 3.4
Employee Stock Purchase Plan
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Share issued under purchase plan (in shares)			298	265
Share issued under purchase plan			$ 3.3	$ 2.9
Restricted Awards
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Unrecognized compensation costs related to awards	$ 70.0		$ 70.0
Unrecognized compensation costs recognition period			2 years 1 month 6 days