Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Aug. 26, 2023	Aug. 27, 2022	Aug. 28, 2021
Income Statement [Abstract]
Net revenues	$ 3,490.7	$ 4,957.7	$ 3,629.8
Cost of goods sold	2,904.6	4,028.4	2,979.4
Gross profit	586.1	929.3	650.4
Selling, general, and administrative expenses	267.7	316.4	228.6
Amortization	17.7	29.4	14.4
Total operating expenses	285.4	345.8	243.0
Operating income	300.7	583.5	407.4
Interest expense, net	20.5	41.3	40.4
Non-operating loss (income)	1.0	27.5	(0.5)
Income before income taxes	279.2	514.7	367.5
Provision for income taxes	63.3	124.1	85.6
Net income	$ 215.9	$ 390.6	$ 281.9
Earnings per common share:
Basic (in dollars per share)	$ 7.12	$ 12.03	$ 8.41
Diluted (in dollars per share)	$ 6.23	$ 11.84	$ 8.28
Weighted average common shares outstanding:
Basic (in shares)	30.3	32.5	33.5
Diluted (in shares)	35.4	33.0	34.1