v3.26.1
Segment Information - Schedule of Operating Segment (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
May 31, 2026
May 31, 2025
May 31, 2026
May 31, 2025
Aug. 31, 2025
Segment Reporting [Line Items]          
Net sales $ 1,198.0 $ 1,178.6 $ 3,397.4 $ 3,136.5  
Cost of products sold 591.6 608.4 1,716.8 1,649.0  
Selling, distribution, and administrative expenses 413.1 400.7 1,188.0 1,074.5  
Special charges 0.0 29.7 5.9 29.7  
Operating profit 193.3 139.8 486.7 383.3  
Interest expense, net 6.1 12.1 21.5 15.0  
Miscellaneous expense, net 2.0 2.3 4.5 5.8  
Income before income taxes 185.2 125.4 460.7 362.5  
Depreciation and amortization 40.7 34.6 117.8 86.7  
Segment assets 4,635.4 4,646.3 4,635.4 4,646.3 $ 4,755.2
Capital expenditures 16.7 15.0 58.5 43.6  
Operating Segments | ABL          
Segment Reporting [Line Items]          
Net sales 905.2 923.2 2,617.7 2,649.8  
Cost of products sold 481.8 492.8 1,419.9 1,435.0  
Selling, distribution, and administrative expenses 262.8 266.7 757.2 777.5  
Special charges   29.7 5.9 29.7  
Operating profit 160.6 134.0 434.7 407.6  
Depreciation and amortization 19.5 17.7 54.5 53.4  
Segment assets 840.0 900.3 840.0 900.3  
Capital expenditures 14.1 9.4 50.2 34.9  
Operating Segments | AIS          
Segment Reporting [Line Items]          
Net sales 303.5 264.1 809.0 509.1  
Cost of products sold 120.5 124.3 326.2 236.4  
Selling, distribution, and administrative expenses 126.5 112.4 361.0 224.6  
Special charges   0.0 0.0 0.0  
Operating profit 56.5 27.4 121.8 48.1  
Depreciation and amortization 20.5 16.3 61.3 31.5  
Segment assets 229.2 194.3 229.2 194.3  
Capital expenditures 2.4 5.6 6.6 8.5  
Corporate          
Segment Reporting [Line Items]          
Net sales 0.0 0.0 0.0 0.0  
Cost of products sold 0.0 0.0 0.0 0.0  
Selling, distribution, and administrative expenses 23.8 21.6 69.8 72.4  
Special charges   0.0 0.0 0.0  
Operating profit (23.8) (21.6) (69.8) (72.4)  
Depreciation and amortization 0.7 0.6 2.0 1.8  
Segment assets 3,566.2 3,551.7 3,566.2 3,551.7  
Capital expenditures 0.2 0.0 1.7 0.2  
Eliminations          
Segment Reporting [Line Items]          
Net sales (10.7) (8.7) (29.3) (22.4)  
Cost of products sold (10.7) (8.7) (29.3) (22.4)  
Selling, distribution, and administrative expenses 0.0 0.0 0.0 0.0  
Special charges   0.0 0.0 0.0  
Operating profit 0.0 0.0 0.0 0.0  
Depreciation and amortization 0.0 0.0 0.0 0.0  
Segment assets 0.0 0.0 0.0 0.0  
Capital expenditures $ 0.0 $ 0.0 $ 0.0 $ 0.0