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Income Taxes - Schedule of Components of Net Deferred Income Taxes (Details) - USD ($)
$ in Millions
Aug. 31, 2022
Aug. 31, 2021
Deferred income tax liabilities:    
Depreciation $ (18.6) $ (19.0)
Goodwill and intangibles (154.2) (155.2)
Operating lease right of use asset (18.3) (14.3)
Other liabilities (7.4) (8.2)
Total deferred income tax liabilities (198.5) (196.7)
Deferred income tax assets:    
Self-insurance 1.6 1.8
Pension 7.1 9.9
Deferred compensation 22.2 21.3
Net operating losses 5.8 5.4
Other accruals not yet deductible 42.9 41.3
Operating lease liabilities 20.3 15.4
Other assets 9.3 12.0
Total deferred income tax assets 109.2 107.1
Valuation allowance (11.5) (9.5)
Net deferred income tax liabilities $ (100.8) $ (99.1)