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Fair Value Measurements - Schedule of Carrying Value and Estimated Fair Value of Financial Instruments (Details) - Fair Value Measured on Recurring Basis - USD ($) $ in Millions | Feb. 28, 2025 | Aug. 31, 2024
--- | --- | ---
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Total assets at fair value | $ 403.0 | $ 852.5
Total |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Cash and cash equivalents | 397.9 | 845.8
Assets in fair value hierarchy | 397.9 | 845.8
Level 1 |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Cash and cash equivalents | 397.9 | 845.8
Assets in fair value hierarchy | 397.9 | 845.8
Total assets at fair value | 397.9 | 845.8
Level 2 |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Cash and cash equivalents | 0.0 | 0.0
Assets in fair value hierarchy | 0.0 | 0.0
Total assets at fair value | 0.0 | 0.0
Level 3 |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Cash and cash equivalents | 0.0 | 0.0
Assets in fair value hierarchy | 0.0 | 0.0
Total assets at fair value | 0.0 | 0.0
Other investments |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Other investments | $ 5.1 | $ 6.7

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