Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	3 Months Ended		6 Months Ended
	Feb. 25, 2023	Feb. 26, 2022	Feb. 25, 2023	Feb. 26, 2022
Income Statement [Abstract]
Net revenues	$ 866.7	$ 1,164.7	$ 1,818.9	$ 2,320.5
Cost of goods sold	719.9	948.1	1,511.7	1,874.5
Gross profit	146.8	216.6	307.2	446.0
Selling, general, and administrative expenses	66.2	71.8	136.9	146.7
Amortization	3.8	8.0	7.6	16.2
Total operating expenses	70.0	79.8	144.5	162.9
Operating income	76.8	136.8	162.7	283.1
Interest expense, net	5.3	10.3	11.2	20.6
Non-operating loss	1.8	6.5	2.1	12.8
Income before income taxes	69.7	120.0	149.4	249.7
Provision for income taxes	16.9	28.8	36.4	58.9
Net income	$ 52.8	$ 91.2	$ 113.0	$ 190.8
Earnings per common share:
Basic (in dollars per share)	$ 1.73	$ 2.75	$ 3.71	$ 5.75
Diluted (in dollars per share)	$ 1.52	$ 2.69	$ 3.25	$ 5.58
Weighted average common shares outstanding:
Basic (in shares)	30.5	33.1	30.5	33.2
Diluted (in shares)	35.5	33.9	35.5	34.2