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Leases, Cash Flow and Other Information Related to Leases (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2023
Aug. 31, 2022
Aug. 31, 2021
Cash paid for amounts included in the measurement of lease liabilities:      
Operating cash outflows from operating leases $ 40,645 $ 35,697 $ 31,686
Operating cash outflows from finance leases 3,642 2,093 2,228
Financing cash outflows from finance leases 22,837 17,821 16,016
ROU assets obtained in exchange for lease obligations:      
Operating leases 55,588 59,035 25,888
Finance leases $ 59,499 $ 24,333 $ 18,006