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Share-based Compensation - Performance Share Awards - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Increase decrease in payouts threshold 20.00%    
Performance Shares (PSUs)      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based compensation arrangement by share-based payment award, award requisite service period 3 years    
Shares granted (in shares) 153,080 316,649 337,770
Weighted average grant date fair value, granted $ 54.29 $ 22.33 $ 21.32
Share vested $ 14 $ 7 $ 10
Compensation cost not yet recognized $ 10    
Compensation cost not yet recognized, period for recognition 2 years    
Performance Shares (PSUs) | Minimum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Performance based awards award payouts threshold 50.00% 50.00% 50.00%
Performance Shares (PSUs) | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Performance based awards award payouts threshold 200.00% 200.00% 200.00%
Total Shareholder Return (TSR)      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares granted (in shares) 76,540 157,791 165,834
Return on Capital Employed Awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares granted (in shares) 76,540 158,858 171,936