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Income Taxes - Schedule of Components of Net Deferred Income Taxes (Details) - USD ($)
$ in Millions
Aug. 31, 2021
Aug. 31, 2020
Deferred income tax liabilities:    
Depreciation $ (19.0) $ (23.3)
Goodwill and intangibles (155.2) (153.1)
Operating lease right of use asset (14.3) (15.6)
Other liabilities (8.2) (5.3)
Total deferred income tax liabilities (196.7) (197.3)
Deferred income tax assets:    
Self-insurance 1.8 2.1
Pension 9.9 22.2
Deferred compensation 21.3 22.2
Net operating losses 5.4 5.6
Other accruals not yet deductible 41.3 32.0
Operating lease liabilities 15.4 18.2
Other assets 12.0 9.3
Total deferred income tax assets 107.1 111.6
Valuation allowance (9.5) (6.5)
Net deferred income tax liabilities $ (99.1) $ (92.2)