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Supplemental Guarantor Condensed Consolidating Financial Statements (Balance Sheets) (Details) - USD ($)
$ in Millions
Nov. 30, 2018
Aug. 31, 2018
Nov. 30, 2017
Aug. 31, 2017
Current Assets:        
Cash and cash equivalents $ 214.8 $ 129.1 $ 428.6 $ 311.1
Accounts receivable, net 556.7 637.9    
Inventories 420.2 411.8    
Other current assets 60.1 32.3    
Total current assets 1,251.8 1,211.1    
Property, plant, and equipment, net 283.0 286.7    
Goodwill 966.9 970.6 896.5 900.9
Intangible assets, net 489.5 498.7    
Deferred income taxes 2.9 2.9    
Other long-term assets 21.2 18.8    
Investments in and amounts due from affiliates 0.0 0.0    
Total assets 3,015.3 2,988.8    
Current Liabilities:        
Accounts payable 389.7 451.1    
Current maturities of long-term debt 0.4 0.4    
Other accrued liabilities 261.9 231.2    
Total current liabilities 652.0 682.7    
Long-term debt 356.3 356.4    
Deferred income taxes 88.7 92.5    
Other long-term liabilities 167.4 140.4    
Amounts due to affiliates 0.0 0.0    
Total stockholders’ equity 1,750.9 1,716.8 1,726.1 1,665.6
Total liabilities and stockholders’ equity 3,015.3 2,988.8    
Parent        
Current Assets:        
Cash and cash equivalents 158.0 80.5 364.8 237.7
Accounts receivable, net 0.0 0.0    
Inventories 0.0 0.0    
Other current assets 11.5 2.3    
Total current assets 169.5 82.8    
Property, plant, and equipment, net 0.2 0.2    
Goodwill 0.0 0.0    
Intangible assets, net 0.0 0.0    
Deferred income taxes 36.0 36.4    
Other long-term assets 0.2 1.2    
Investments in and amounts due from affiliates 1,679.2 1,707.0    
Total assets 1,885.1 1,827.6    
Current Liabilities:        
Accounts payable 0.5 0.3    
Current maturities of long-term debt 0.0 0.0    
Other accrued liabilities 33.9 18.8    
Total current liabilities 34.4 19.1    
Long-term debt 0.0 0.0    
Deferred income taxes 0.0 0.0    
Other long-term liabilities 99.8 91.7    
Amounts due to affiliates 0.0 0.0    
Total stockholders’ equity 1,750.9 1,716.8    
Total liabilities and stockholders’ equity 1,885.1 1,827.6    
Subsidiary Issuer        
Current Assets:        
Cash and cash equivalents 0.0 0.0 0.0 0.0
Accounts receivable, net 486.9 560.7    
Inventories 392.6 386.6    
Other current assets 32.5 18.6    
Total current assets 912.0 965.9    
Property, plant, and equipment, net 225.3 226.8    
Goodwill 746.0 746.5    
Intangible assets, net 282.7 286.6    
Deferred income taxes 0.0 0.0    
Other long-term assets 19.2 15.6    
Investments in and amounts due from affiliates 513.8 370.6    
Total assets 2,699.0 2,612.0    
Current Liabilities:        
Accounts payable 363.9 420.7    
Current maturities of long-term debt 0.0 0.0    
Other accrued liabilities 191.6 170.1    
Total current liabilities 555.5 590.8    
Long-term debt 353.6 353.5    
Deferred income taxes 102.3 106.5    
Other long-term liabilities 53.3 34.0    
Amounts due to affiliates 0.0 0.0    
Total stockholders’ equity 1,634.3 1,527.2    
Total liabilities and stockholders’ equity 2,699.0 2,612.0    
Subsidiary Guarantor        
Current Assets:        
Cash and cash equivalents 0.0 0.0 0.0 0.0
Accounts receivable, net 0.0 0.0    
Inventories 0.0 0.0    
Other current assets 0.0 0.0    
Total current assets 0.0 0.0    
Property, plant, and equipment, net 0.0 0.0    
Goodwill 2.7 2.7    
Intangible assets, net 105.8 106.5    
Deferred income taxes 0.0 0.0    
Other long-term assets 0.0 0.0    
Investments in and amounts due from affiliates 290.3 279.5    
Total assets 398.8 388.7    
Current Liabilities:        
Accounts payable 0.0 0.0    
Current maturities of long-term debt 0.0 0.0    
Other accrued liabilities 0.0 0.0    
Total current liabilities 0.0 0.0    
Long-term debt 0.0 0.0    
Deferred income taxes 0.0 0.0    
Other long-term liabilities 0.0 0.0    
Amounts due to affiliates 0.0 0.0    
Total stockholders’ equity 398.8 388.7    
Total liabilities and stockholders’ equity 398.8 388.7    
Non- Guarantors        
Current Assets:        
Cash and cash equivalents 56.8 48.6 63.8 73.4
Accounts receivable, net 69.8 77.2    
Inventories 27.6 25.2    
Other current assets 16.1 11.4    
Total current assets 170.3 162.4    
Property, plant, and equipment, net 57.5 59.7    
Goodwill 218.2 221.4    
Intangible assets, net 101.0 105.6    
Deferred income taxes 6.3 6.2    
Other long-term assets 1.8 2.0    
Investments in and amounts due from affiliates 0.0 0.0    
Total assets 555.1 557.3    
Current Liabilities:        
Accounts payable 25.3 30.1    
Current maturities of long-term debt 0.4 0.4    
Other accrued liabilities 36.4 42.3    
Total current liabilities 62.1 72.8    
Long-term debt 2.7 2.9    
Deferred income taxes 25.8 25.7    
Other long-term liabilities 14.3 14.7    
Amounts due to affiliates 139.9 138.8    
Total stockholders’ equity 310.3 302.4    
Total liabilities and stockholders’ equity 555.1 557.3    
Consolidating Adjustments        
Current Assets:        
Cash and cash equivalents 0.0 0.0 $ 0.0 $ 0.0
Accounts receivable, net 0.0 0.0    
Inventories 0.0 0.0    
Other current assets 0.0 0.0    
Total current assets 0.0 0.0    
Property, plant, and equipment, net 0.0 0.0    
Goodwill 0.0 0.0    
Intangible assets, net 0.0 0.0    
Deferred income taxes (39.4) (39.7)    
Other long-term assets 0.0 0.0    
Investments in and amounts due from affiliates (2,483.3) (2,357.1)    
Total assets (2,522.7) (2,396.8)    
Current Liabilities:        
Accounts payable 0.0 0.0    
Current maturities of long-term debt 0.0 0.0    
Other accrued liabilities 0.0 0.0    
Total current liabilities 0.0 0.0    
Long-term debt 0.0 0.0    
Deferred income taxes (39.4) (39.7)    
Other long-term liabilities 0.0 0.0    
Amounts due to affiliates (139.9) (138.8)    
Total stockholders’ equity (2,343.4) (2,218.3)    
Total liabilities and stockholders’ equity $ (2,522.7) $ (2,396.8)