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Investments and Fair Value Measurements - Fair Value Inputs (Details) - Fair Value, Measurements, Recurring - USD ($) $ in Millions	Aug. 31, 2024	Aug. 26, 2023
Assets that fund deferred compensation:
Domestic equity funds	$ 2.1	$ 1.7
International equity funds	0.1	0.1
Total assets at fair value	2.2	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	2.1	1.7
International equity funds	0.1	0.1
Total assets at fair value	2.2	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

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