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Commitments and Contingencies - Unconditional Purchase Obligations (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2021
Aug. 31, 2020
Aug. 31, 2019
Unrecorded Unconditional Purchase Obligation, Fiscal Year Maturity [Abstract]      
Total payments under unconditional purchase obligation arrangements $ 81,000 $ 77,600 $ 70,800
Minimum      
Unrecorded Unconditional Purchase Obligation, Fiscal Year Maturity [Abstract]      
Long-term unconditional purchase obligations, Total 537,047    
2022 83,044    
2023 65,918    
2024 65,650    
2025 60,115    
2026 57,951    
Thereafter $ 204,369