Investments and Fair Value Measurements - Assets and Liabilities Measured at Fair Value (Details) - Fair Value, Measurements, Recurring - USD ($) $ in Millions	Feb. 24, 2024	Aug. 26, 2023
Assets that fund deferred compensation
Domestic equity funds	$ 1.9	$ 1.7
International equity funds	0.1	0.1
Total assets at fair value	2.0	1.8
Contingent consideration
Earnout liability	19.5	18.4
Total liabilities at fair value	19.5	18.4
Level 1
Assets that fund deferred compensation
Domestic equity funds	1.9	1.7
International equity funds	0.1	0.1
Total assets at fair value	2.0	1.8
Contingent consideration
Earnout liability	0.0	0.0
Total liabilities at fair value	0.0	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	0.0
Total liabilities at fair value	0.0	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	19.5	18.4
Total liabilities at fair value	$ 19.5	$ 18.4