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Income Taxes (Tables)
12 Months Ended
Aug. 31, 2021
Income Tax Disclosure [Abstract]  
Schedule of Provision for Income Taxes
The provision for income taxes consists of the following components during the periods presented (in millions):
 Year Ended August 31,
 202120202019
Provision for current federal taxes$65.4 $54.6 $60.3 
Provision for current state taxes12.8 12.5 14.7 
Provision for current foreign taxes14.4 16.0 10.2 
(Benefit) provision for deferred taxes(2.7)(6.7)9.3 
Total provision for income taxes$89.9 $76.4 $94.5 
Schedule of Reconciliation of Federal Statutory Rate to Total Provision for Income Taxes
The following table reconciles the provision at the federal statutory rate to the total provision for income taxes during the periods presented (in millions):
 Year Ended August 31,
 202120202019
Federal income tax computed at statutory rate$83.2 $68.2 $89.2 
State income tax, net of federal income tax benefit10.7 9.7 12.2 
Foreign permanent differences and rate differential2.4 2.4 2.1 
Discrete income tax benefits of the U.S. Tax Cuts and Jobs Act— — (2.2)
Research and development tax credits(7.6)(7.1)(18.1)
Unrecognized tax benefits0.7 1.8 12.2 
Other, net0.5 1.4 (0.9)
Total provision for income taxes$89.9 $76.4 $94.5 
Schedule of Components of Net Deferred Income Taxes Components of the net deferred income tax liabilities as of the dates presented include (in millions):
 August 31,
 20212020
Deferred income tax liabilities:  
Depreciation$(19.0)$(23.3)
Goodwill and intangibles(155.2)(153.1)
Operating lease right of use asset(14.3)(15.6)
Other liabilities(8.2)(5.3)
Total deferred income tax liabilities(196.7)(197.3)
Deferred income tax assets:  
Self-insurance1.8 2.1 
Pension9.9 22.2 
Deferred compensation21.3 22.2 
Net operating losses5.4 5.6 
Other accruals not yet deductible41.3 32.0 
Operating lease liabilities15.4 18.2 
Other assets12.0 9.3 
Total deferred income tax assets107.1 111.6 
Valuation allowance(9.5)(6.5)
Net deferred income tax liabilities$(99.1)$(92.2)
Schedule of Change in Unrecognized Income Tax Benefit
The following table reconciles the change in the unrecognized income tax benefit (reported in Other long-term liabilities on the Consolidated Balance Sheets) during the periods presented (in millions):
Year Ended August 31,
202120202019
Unrecognized tax benefits balance at beginning of year$17.2 $16.6 $4.4 
Additions based on tax positions related to the current year5.2 2.3 2.0 
Additions for tax positions of prior years0.1 — 10.9 
Reductions for tax positions of prior years(0.1)(0.4)— 
Reductions due to settlements(4.6)(1.2)— 
Reductions due to lapse of statute of limitations(0.1)(0.1)(0.7)
Unrecognized tax benefits balance at end of year$17.7 $17.2 $16.6