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Leases, Cash Flow and Other Information Related to Leases (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Cash paid for amounts included in the measurement of lease liabilities:      
Operating cash outflows from operating leases $ 35,697 $ 31,686 $ 36,063
Operating cash outflows from finance leases 2,093 2,228 1,720
Financing cash outflows from finance leases 17,821 16,016 12,774
ROU assets obtained in exchange for lease obligations:      
Operating leases 59,035 25,888 43,642
Finance leases $ 24,333 $ 18,006 $ 26,573