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Income Taxes (Tables)
12 Months Ended
Aug. 31, 2022
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,
 202220212020
Provision for current federal taxes$67.6 $65.4 $54.6 
Provision for current state taxes16.3 12.8 12.5 
Provision for current foreign taxes25.4 14.4 16.0 
Provision for (benefit from) deferred taxes0.6 (2.7)(6.7)
Total provision for income taxes$109.9 $89.9 $76.4 
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,
 202220212020
Federal income tax computed at statutory rate$103.7 $83.2 $68.2 
State income tax, net of federal income tax benefit13.5 10.7 9.7 
Federal permanent differences(4.3)0.6 0.9 
Foreign permanent differences and rate differential4.3 2.4 2.4 
Research and development tax credits(7.6)(7.6)(7.1)
Unrecognized tax benefits2.1 0.7 1.8 
Other, net(1.8)(0.1)0.5 
Total provision for income taxes$109.9 $89.9 $76.4 
Schedule of Components of Net Deferred Income Taxes Components of the net deferred income tax liabilities as of the dates presented include (in millions):
 August 31,
 20222021
Deferred income tax liabilities:  
Depreciation$(18.6)$(19.0)
Goodwill and intangibles(154.2)(155.2)
Operating lease right of use asset(18.3)(14.3)
Other liabilities(7.4)(8.2)
Total deferred income tax liabilities(198.5)(196.7)
Deferred income tax assets:  
Self-insurance1.6 1.8 
Pension7.1 9.9 
Deferred compensation22.2 21.3 
Net operating losses5.8 5.4 
Other accruals not yet deductible42.9 41.3 
Operating lease liabilities20.3 15.4 
Other assets9.3 12.0 
Total deferred income tax assets109.2 107.1 
Valuation allowance(11.5)(9.5)
Net deferred income tax liabilities$(100.8)$(99.1)
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,
202220212020
Unrecognized tax benefits balance at beginning of year$17.7 $17.2 $16.6 
Additions based on tax positions related to the current year3.5 5.2 2.3 
Additions for tax positions of prior years0.1 0.1 — 
Reductions for tax positions of prior years(0.2)(0.1)(0.4)
Reductions due to settlements— (4.6)(1.2)
Reductions due to lapse of statute of limitations(1.6)(0.1)(0.1)
Unrecognized tax benefits balance at end of year$19.5 $17.7 $17.2