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Fair Value Measurements - Narrative (Details)	3 Months Ended	12 Months Ended
	May 31, 2025 USD ($) asset	Aug. 31, 2025 USD ($)	Aug. 31, 2024 USD ($)	Aug. 31, 2023 USD ($) asset
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Intangible asset impairment charge	$ 14,700,000
Impairment, Intangible Asset, Statement of Income or Comprehensive Income [Extensible Enumeration]	Special charges
Asset impairments		$ 16,700,000	$ 3,000,000.0	$ 20,800,000
Lines of Credit | Credit Agreement
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Long-term debt		400,000,000.0	0
Estimate of Fair Value Measurement | Senior Unsecured Notes
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Carrying and estimated fair value of financial instruments		446,700,000	429,700,000
Held-for-sale
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Number of asset classified as held for sale | asset				1
Assets held for sale, total			$ 0
Disposal group, including discontinued operation, property, plant and equipment (excluding impairment)		$ 5,500,000
Held-for-sale | Property, Plant and Equipment
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Number of asset classified as held for sale | asset	1
Assets held for sale, total	$ 7,500,000
Asset impairments	$ 2,000,000

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