Gross Carrying Amount and Accumulated Amortization of Other Intangible Assets (Details) - USD ($) $ in Thousands	6 Months Ended
Feb. 28, 2022	Aug. 31, 2021
Indefinite And Finite Lived Intangible Assets [Line Items]
Accumulated Amortization	$ 133,704	$ 130,542
Gross Carrying Value	182,312	185,087
Net Book Value	48,608	54,545
Tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Gross Carrying Value	24,099	24,835
Accumulated Amortization	0	0
Net Book Value	$ 24,099	24,835
Customer relationships
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	14 years
Gross Carrying Value	$ 140,661	142,453
Accumulated Amortization	117,743	114,463
Net Book Value	$ 22,918	27,990
Patents
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	11 years
Gross Carrying Value	$ 14,289	14,492
Accumulated Amortization	13,553	13,688
Net Book Value	$ 736	804
Trademarks and tradenames
Indefinite And Finite Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	12 years
Gross Carrying Value	$ 3,263	3,307
Accumulated Amortization	2,408	2,391
Net Book Value	$ 855	$ 916

Indefinite And Finite Lived Intangible Assets [Line Items]

No definition available.

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Useful life of finite-lived intangible assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

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- Definition

Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 50
-Paragraph 2
-Subparagraph (a)(1)
-URI http://asc.fasb.org/extlink&oid=66006027&loc=d3e16323-109275

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- Definition

Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 928
-SubTopic 340
-Section 50
-Paragraph 1
-URI http://asc.fasb.org/extlink&oid=6473545&loc=d3e61844-108004

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Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 926
-SubTopic 20
-Section 50
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- Definition

Amount before accumulated amortization of intangible assets, excluding goodwill.

+ References

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- Definition

Sum of the carrying amounts of all intangible assets, excluding goodwill, as of the balance sheet date, net of accumulated amortization and impairment charges.

+ References

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