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Description of Business, Basis of Presentation, and Significant Accounting Policies (Details)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Aug. 31, 2016
USD ($)
segment
$ / shares
Aug. 31, 2015
USD ($)
May 31, 2016
USD ($)
Accounting Policies [Line Items]      
State of incorporation Delaware    
Number of reportable segments | segment 1    
Allowance for doubtful accounts $ 4.7   $ 4.2
Accounts receivable, net of allowance for doubtful accounts 485.6   408.6
Maximum individual workers' compensation claims liability 1.3   1.3
Maximum individual health insurance claims liability 0.3   0.3
Stock-based compensation costs recognized 9.1 $ 8.8  
Excess tax benefit in income tax expense $ 13.2    
Diluted earnings per share increase | $ / shares $ 0.035    
Trade Receivables [Member]      
Accounting Policies [Line Items]      
Accounts receivable, net of allowance for doubtful accounts $ 280.2   221.6
Purchased Receivables [Member]      
Accounting Policies [Line Items]      
Accounts receivable, net of allowance for doubtful accounts $ 205.4   $ 187.0
Germany [Member] | Total Revenue [Member] | Geographic Concentration Risk [Member]      
Accounting Policies [Line Items]      
Percentage of total revenue less than one percent 1.00% 1.00%