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Segment Information - Schedule of Operating Segment (Details)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 29, 2024
USD ($)
Feb. 28, 2023
USD ($)
Nov. 30, 2022
USD ($)
Feb. 29, 2024
USD ($)
segment
Feb. 28, 2023
USD ($)
Segment Reporting Information [Line Items]          
Number of reportable segments | segment       2  
Special charges $ 0.0 $ 0.0 $ 6.9 $ 0.0 $ 6.9
Net sales 905.9 943.6   1,840.6 1,941.5
Operating profit: 118.1 111.5   251.0 220.4
Operating Segments | ABL          
Segment Reporting Information [Line Items]          
Net sales 843.5 890.8   1,719.9 1,837.9
Operating profit: 126.0 123.6   269.8 241.7
Operating Segments | ISG          
Segment Reporting Information [Line Items]          
Net sales 68.1 58.2   132.3 115.0
Operating profit: 9.1 6.3   14.4 14.0
Eliminations          
Segment Reporting Information [Line Items]          
Net sales (5.7) (5.4)   (11.6) (11.4)
Unallocated corporate amounts          
Segment Reporting Information [Line Items]          
Operating profit: $ (17.0) $ (18.4)   $ (33.2) $ (35.3)