Debt - Debt Obligations (Details) - USD ($) $ in Thousands	Feb. 29, 2024	Aug. 31, 2023
Debt Instrument [Line Items]
Long-term debt, gross	$ 1,500,000
Total unamortized discounts and debt issuance costs	(10,512)	$ (12,300)
Total net carrying value of debt	1,489,488	1,612,700
Senior Notes | 2027 Notes
Debt Instrument [Line Items]
Long-term debt, gross	500,000	500,000
Senior Notes | 2032 Notes
Debt Instrument [Line Items]
Long-term debt, gross	500,000	500,000
Term Loan | Line of Credit | 2022 Credit Agreement
Debt Instrument [Line Items]
Long-term debt, gross	250,000	375,000
Revolving Credit Facility | Line of Credit | 2022 Credit Agreement
Debt Instrument [Line Items]
Long-term debt, gross	$ 250,000	$ 250,000