Investments and Fair Value Measurements - Assets and Liabilities Measured at Fair Value (Details) - Fair Value, Measurements, Recurring - USD ($) $ in Millions	May 25, 2024	Aug. 26, 2023
Assets that fund deferred compensation
Domestic equity funds	$ 2.0	$ 1.7
International equity funds	0.1	0.1
Total assets at fair value	2.1	1.8
Contingent consideration
Earnout liability		18.4
Total liabilities at fair value		18.4
Level 1
Assets that fund deferred compensation
Domestic equity funds	2.0	1.7
International equity funds	0.1	0.1
Total assets at fair value	2.1	1.8
Contingent consideration
Earnout liability		0.0
Total liabilities at fair value		0.0
Level 2
Assets that fund deferred compensation
Domestic equity funds	0.0	0.0
International equity funds	0.0	0.0
Total assets at fair value	0.0	0.0
Contingent consideration
Earnout liability		0.0
Total liabilities at fair value		0.0
Level 3
Assets that fund deferred compensation
Domestic equity funds	0.0	0.0
International equity funds	0.0	0.0
Total assets at fair value	$ 0.0	0.0
Contingent consideration
Earnout liability		18.4
Total liabilities at fair value		$ 18.4