Business Acquisitions - Summary of Fair Values of Assets Acquired and Liabilities Assumed (Details) - USD ($) $ in Thousands	Aug. 31, 2022	Jul. 01, 2022	Apr. 29, 2022	Oct. 01, 2021	Aug. 31, 2021	Aug. 31, 2020
Business Acquisition [Line Items]
Goodwill	$ 255,198	$ 254,000			$ 170,304	$ 169,627
Columbus Recycling
Business Acquisition [Line Items]
Cash				$ 325
Accounts receivable				22,763
Inventories				10,060
Other current assets				255
Property, plant and equipment				13,491
Operating lease right-of-use assets				254
Goodwill				65,203
Other intangible assets				19,741
Total assets acquired				132,092
Current liabilities				11,828
Other liabilities				3,350
Total liabilities assumed				15,178
Net assets acquired				$ 116,914
Encore Recycling
Business Acquisition [Line Items]
Accounts receivable			$ 10,356
Inventories			4,325
Other current assets			15
Property, plant and equipment			25,143
Operating lease right-of-use assets			402
Goodwill			20,494
Other intangible assets			4,809
Total assets acquired			65,544
Current liabilities			1,322
Other liabilities			1,091
Total liabilities assumed			2,413
Net assets acquired			$ 63,131