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Goodwill and Other Intangible Assets, Net - Additional Information (Details)
12 Months Ended
Aug. 31, 2021
USD ($)
reporting_unit
Regional
Aug. 31, 2020
USD ($)
reporting_unit
Aug. 31, 2019
USD ($)
Jul. 01, 2021
USD ($)
Jul. 01, 2020
Goodwill [Line Items]          
Goodwill $ 170,304,000 $ 169,627,000 $ 169,237,000 $ 171,000,000  
Number of reporting units | reporting_unit 3        
Number of regional groups | Regional 2        
Goodwill, impaired, accumulated impairment loss $ 471,000,000 471,000,000      
Amortization of intangible assets 1,000,000 1,000,000 1,000,000    
Impairments of intangible assets recognized $ 0 $ 0 $ 0    
AMR          
Goodwill [Line Items]          
Number of reporting units | reporting_unit 2 1      
AMR | Single Reporting Unit Carried Out          
Goodwill [Line Items]          
Goodwill   $ 1,000,000      
Estimated fair value of reporting unit exceeded carrying amount         29.00%
AMR | Two Reporting Unit Carried Out          
Goodwill [Line Items]          
Goodwill       $ 1,000,000