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Segment Information (Details)
$ in Millions
3 Months Ended 6 Months Ended 9 Months Ended
Feb. 28, 2022
USD ($)
Feb. 28, 2021
USD ($)
Feb. 28, 2022
USD ($)
segment
Feb. 28, 2021
USD ($)
Nov. 30, 2021
segment
Segment Reporting [Abstract]          
Number of reportable segments | segment     2   2
Segment Reporting Information [Line Items]          
Net sales $ 909.1 $ 776.6 $ 1,835.2 $ 1,568.6  
Operating profit (loss) 102.3 91.0 217.4 176.7  
Depreciation and amortization 23.6 25.0 47.9 50.0  
Interest expense, net 6.0 6.6 11.9 11.5  
Miscellaneous (income) expense, net (1.9) 2.2 (1.6) 3.8  
Income before income taxes 98.2 82.2 207.1 161.4  
Operating segments | ABL          
Segment Reporting Information [Line Items]          
Net sales 863.1 736.8 1,746.7 1,490.4  
Operating profit (loss) 116.5 102.0 244.6 200.4  
Depreciation and amortization 19.8 21.1 40.2 42.2  
Operating segments | ISG          
Segment Reporting Information [Line Items]          
Net sales 50.0 43.3 96.4 84.1  
Operating profit (loss) 1.2 0.8 3.2 0.7  
Depreciation and amortization 3.6 3.7 7.2 7.3  
Corporate          
Segment Reporting Information [Line Items]          
Net sales 0.0 0.0 0.0 0.0  
Operating profit (loss) (15.4) (11.8) (30.4) (24.4)  
Depreciation and amortization 0.2 0.2 0.5 0.5  
Eliminations          
Segment Reporting Information [Line Items]          
Net sales (4.0) (3.5) (7.9) (5.9)  
Operating profit (loss) 0.0 0.0 0.0 0.0  
Depreciation and amortization $ 0.0 $ 0.0 $ 0.0 $ 0.0