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Debt - Narrative (Details) - USD ($) $ in Thousands |  |  | 3 Months Ended | 9 Months Ended |
--- | --- | --- | --- | --- | ---
May 31, 2024 | Aug. 31, 2022 | May 31, 2023 | Nov. 30, 2022 | May 13, 2022
Debt Instrument [Line Items] |  |  |  |  |
Letters of credit outstanding |  |  | $ 17,900 |  |
2022 Credit Agreement And Term Loan B |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |
Periodic payments |  | $ 3,250 |  |  |
Total net leverage ratio maximum |  |  | 550.00% | 625.00% |
2022 Credit Agreement And Term Loan B | Subsequent Event |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |
Total net leverage ratio maximum | 450.00% |  |  |  |
Note Payable, Floating And Fixed Rate, Maturing Through Fiscal Year 2029 |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |
Fair value of outstanding debt |  |  | $ 1,105,300 |  |
Senior Notes | Line of Credit |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |
Remaining borrowing capacity on line of credit |  |  | $ 307,100 |  |
Loans Payable | Term Loan B |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |
Debt instrument, face amount |  |  |  |  | $ 1,300,000
Convertible Debt |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |
Debt instrument, face amount |  |  |  |  | 240,000
Revolving Credit Facility | 2021 Credit Agreement |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |
Debt instrument, interest rate, effective percentage |  |  | 9.07% |  |
Revolving Credit Facility | 2022 Credit Agreement And Term Loan B |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |
Maximum borrowing capacity |  |  |  |  | $ 400,000
Revolving Credit Facility | Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate | 2022 Credit Agreement And Term Loan B |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |
Debt instrument, stated percentage |  |  |  |  | 4.25%
Standby And Commercial Letters Of Credit | 2022 Credit Agreement And Term Loan B |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |
Accordion feature |  |  |  |  | $ 100,000

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