Other Assets - Additional Information (Details) - USD ($)	3 Months Ended	9 Months Ended
May 31, 2022	May 31, 2021	May 31, 2022	May 31, 2021
Other Assets [Abstract]
Amortization of deferred contract costs	$ 600,000	$ 600,000	$ 1,800,000	$ 1,600,000
Impairment loss of costs capitalized	$ 0	$ 0	$ 0	$ 0

Amount of impairment loss for asset recognized from cost incurred to obtain or fulfill contract with customer.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 340
-SubTopic 40
-Section 50
-Paragraph 3
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=123353750&loc=SL49131252-203054

Name:	us-gaap_CapitalizedContractCostImpairmentLoss
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration