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Business And Summary Of Significant Accounting Policies - Change in the Carrying Amount of Goodwill (Details) - USD ($) $ in Thousands	12 Months Ended
	Aug. 31, 2024	Sep. 02, 2023	Jun. 30, 2024	Jan. 31, 2024	Aug. 31, 2022
Goodwill [Roll Forward]
Goodwill, beginning balance	$ 718,174	$ 710,130
Foreign currency translation adjustments	(778)	95
Goodwill, ending balance	723,894	718,174
Buckeye/Tru-Edge
Goodwill [Roll Forward]
Acquisition		7,826
Tower Fasteners
Goodwill [Roll Forward]
Post-closing working capital adjustment paid out		$ 123
Percentage of ownership interest acquired					100.00%
KAR Industrial Inc
Goodwill [Roll Forward]
Acquisition	3,860
Percentage of ownership interest acquired				100.00%
ApTex, Inc
Goodwill [Roll Forward]
Acquisition	1,108
Percentage of ownership interest acquired			100.00%
Premier Tool Grinding, Inc
Goodwill [Roll Forward]
Acquisition	$ 1,530

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Percentage of voting equity interests acquired at the acquisition date in the business combination.

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