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Leases, Lease Cost (Details) - USD ($)
$ in Thousands
 12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Leases [Abstract]      
Operating Lease, Cost $ 35,111 $ 32,752 $ 35,611
Finance lease expense:      
Amortization of assets 13,302 13,050 11,445
Interest on lease liabilities 2,105 2,213 1,792
Total finance lease expense 15,407 15,263 13,237
Variable and short-term lease expense 20,856 20,096 17,020
Total lease expense $ 71,374 $ 68,111 $ 65,868