Income Taxes - Changes in Unrecognized Tax Benefits (Details) - USD ($) $ in Millions	12 Months Ended
Aug. 31, 2024	Aug. 26, 2023	Aug. 27, 2022
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Balance at beginning of year	$ 5.5	$ 5.0	$ 5.5
Gross decreases-tax positions in a prior year	(1.7)	(1.5)	(1.1)
Gross increases-tax positions in a prior year	0.2	1.0	0.0
Gross increases-current year tax positions	0.9	1.0	0.6
Balance at end of year	4.9	5.5	5.0
Accrued interest and penalties	0.5	0.6	0.7
Total unrecognized tax benefits	$ 5.4	$ 6.1	$ 5.7

Amount recognized for uncertainty in income taxes classified as noncurrent.

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Amount of unrecognized tax benefits.

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