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Income Taxes - Schedule of Components of Net Deferred Income Taxes (Details) - USD ($)
$ in Millions
Aug. 31, 2025
Aug. 31, 2024
Deferred income tax liabilities:    
Depreciation $ (24.7) $ (21.8)
Goodwill and intangibles (155.1) (150.2)
Operating lease right of use assets (24.0) (15.8)
Other liabilities (3.2) (1.8)
Total deferred income tax liabilities (207.0) (189.6)
Deferred income tax assets:    
Self-insurance 1.8 2.1
Pension 7.1 6.7
Deferred compensation 25.1 24.5
Net operating losses 6.8 7.1
Other accruals not yet deductible 37.0 43.3
Operating lease liabilities 26.4 18.5
Capitalized research and development 98.1 70.1
Other assets 22.7 14.0
Total deferred income tax assets 225.0 186.3
Valuation allowance (19.5) (20.4)
Net deferred income tax liabilities $ (1.5) $ (23.7)