Goodwill and Intangible Assets - Amortization (Details) - USD ($) $ in Thousands |
3 Months Ended | 9 Months Ended | |||
|---|---|---|---|---|---|
May 31, 2026 |
May 31, 2025 |
May 31, 2026 |
May 31, 2025 |
Aug. 31, 2025 |
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| Goodwill and Intangible Assets Disclosure [Abstract] | |||||
| Amortization related to intangible assets | $ 164,352 | $ 153,199 | $ 488,553 | $ 465,575 | |
| Finite-Lived Intangible Assets, Amortization Expense, Maturity Schedule [Abstract] | |||||
| Remainder of 2026 | 167,747 | 167,747 | |||
| 2027 | 555,328 | 555,328 | |||
| 2028 | 516,056 | 516,056 | |||
| 2029 | 420,937 | 420,937 | |||
| 2030 | 324,232 | 324,232 | |||
| Thereafter | 514,692 | 514,692 | |||
| Net Carrying Amount | $ 2,498,992 | $ 2,498,992 | $ 2,410,755 | ||
| X | ||||||||||
- Definition Finite-Lived Intangible Asset, Expected Amortization, After Year Four No definition available.
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| X | ||||||||||
- Definition The aggregate expense charged against earnings to allocate the cost of intangible assets (nonphysical assets not used in production) in a systematic and rational manner to the periods expected to benefit from such assets. Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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| X | ||||||||||
- Definition Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in next fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach). Reference 1: http://www.xbrl.org/2003/role/exampleRef
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| X | ||||||||||
- Definition Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in remainder of current fiscal year. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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| X | ||||||||||
- Definition Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in fourth fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach). Reference 1: http://www.xbrl.org/2003/role/exampleRef
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| X | ||||||||||
- Definition Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in third fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach). Reference 1: http://www.xbrl.org/2003/role/exampleRef
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| X | ||||||||||
- Definition Amount of amortization for assets, excluding financial assets and goodwill, lacking physical substance with finite life expected to be recognized in second fiscal year following current fiscal year. Excludes interim and annual periods when interim periods are reported from current statement of financial position date (rolling approach). Reference 1: http://www.xbrl.org/2003/role/exampleRef
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| X | ||||||||||
- References No definition available.
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| X | ||||||||||
- Definition Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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| X | ||||||||||
- References No definition available.
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