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Long-Term Debt - Long-Term Debt Contractual Maturities (Details) - USD ($)
$ in Thousands
Feb. 29, 2020
Aug. 31, 2019
Debt Instrument [Line Items]    
Fair value of long-term debt, gross $ 581,300  
Total Term Loan and Convertible Notes 557,250 $ 260,000
Term Loan and Convertible Notes    
Debt Instrument [Line Items]    
Fiscal 2020 7,500  
Fiscal 2021 15,000  
Fiscal 2022 15,000  
Fiscal 2023 15,000  
Fiscal 2024 204,750  
Thereafter 300,000  
Total Term Loan and Convertible Notes $ 557,250