Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	3 Months Ended		9 Months Ended
	May 25, 2024	May 27, 2023	May 25, 2024	May 27, 2023
Income Statement [Abstract]
Net revenues	$ 786.0	$ 900.8	$ 2,252.6	$ 2,719.7
Cost of goods sold	667.8	749.4	1,913.3	2,261.1
Gross profit	118.2	151.4	339.3	458.6
Selling, general, and administrative expenses	69.1	66.5	204.4	203.4
Amortization	5.6	4.4	16.9	12.0
Total operating expenses	74.7	70.9	221.3	215.4
Operating income	43.5	80.5	118.0	243.2
Interest expense, net	5.8	5.2	15.2	16.4
Loss on note repurchase	0.0	0.0	32.7	0.0
Non-operating loss	2.2	0.2	5.8	2.3
Income before income taxes	35.5	75.1	64.3	224.5
Provision for income taxes	6.5	16.0	22.2	52.4
Net income	$ 29.0	$ 59.1	$ 42.1	$ 172.1
Earnings per common share:
Basic (in dollars per share)	$ 0.99	$ 1.95	$ 1.43	$ 5.66
Diluted (in dollars per share)	$ 0.96	$ 1.71	$ 1.40	$ 4.95
Weighted average common shares outstanding:
Basic (in shares)	29.2	30.4	29.3	30.4
Diluted (in shares)	30.4	35.4	30.6	35.5