Fair Value Measures - Carrying Value and Estimated Carrying Value and Fair Value of Financial Instruments (Details) - USD ($) $ in Thousands	May 31, 2022	Aug. 31, 2021
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Total unamortized discounts and debt issuance costs	$ (19,858)	$ (465)
Total net carrying value of debt	2,105,142	574,535
Principal Amount
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	2,125,000	575,000
Principal Amount | Level 1 | Senior Notes | 2027 Notes
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	500,000	0
Principal Amount | Level 1 | Senior Notes | 2032 Notes
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	500,000	0
Principal Amount | Level 3 | 2022 Revolving Facility | Line of Credit
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	250,000	0
Principal Amount | Level 3 | Term Loan | 2022 Term Facility
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	875,000	0
Principal Amount | Level 2 | 2019 Revolving Credit Facility | Line of Credit
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	0	575,000
Estimated Fair Value
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	2,047,943	575,000
Estimated Fair Value | Level 1 | Senior Notes | 2027 Notes
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	475,275	0
Estimated Fair Value | Level 1 | Senior Notes | 2032 Notes
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	451,730	0
Estimated Fair Value | Level 3 | 2022 Revolving Facility | Line of Credit
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	248,125	0
Estimated Fair Value | Level 3 | Term Loan | 2022 Term Facility
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	872,813	0
Estimated Fair Value | Level 2 | 2019 Revolving Credit Facility | Line of Credit
Fair Value, Balance Sheet Grouping, Financial Statement Captions [Line Items]
Long-term debt, fair value	$ 0	$ 575,000