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Income Taxes - Components of Income Tax (Benefit) Provision (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2024	Aug. 26, 2023	Aug. 27, 2022
Current
Federal	$ 10.4	$ 38.2	$ 105.9
State	6.9	8.8	24.9
Total	17.3	47.0	130.8
Deferred
Federal	7.1	15.9	(5.6)
State	1.0	0.4	(1.1)
Total	8.1	16.3	(6.7)
Provision for income taxes	$ 25.4	$ 63.3	$ 124.1

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