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Segment Information - Segments Internal Financial Reports (Detail) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
May 31, 2024
May 31, 2023
May 31, 2024
May 31, 2023
Aug. 31, 2023
Segment Reporting Information [Line Items]          
Revenue $ 820.2 $ 1,038.1 $ 2,491.7 $ 2,926.6  
Earnings (loss) from operations 72.3 50.7 200.7 113.3  
Assets 4,115.8   4,115.8   $ 3,978.4
Manufacturing          
Segment Reporting Information [Line Items]          
Revenue 685.1 870.2 2,096.8 2,485.3  
Maintenance Services          
Segment Reporting Information [Line Items]          
Revenue 69.9 122.9 228.9 306.4  
Leasing & Management Services          
Segment Reporting Information [Line Items]          
Revenue 65.2 45.0 166.0 134.9  
Corporate, Non-Segment          
Segment Reporting Information [Line Items]          
Earnings (loss) from operations (28.3) (30.3) (87.7) (79.5)  
Intersegment Eliminations          
Segment Reporting Information [Line Items]          
Revenue (87.9) (84.6) (226.7) (241.3)  
Earnings (loss) from operations (11.9) (7.9) (20.4) (20.8)  
Intersegment Eliminations | Manufacturing          
Segment Reporting Information [Line Items]          
Revenue 70.8 73.3 190.8 214.6  
Earnings (loss) from operations 11.9 7.9 20.3 20.7  
Intersegment Eliminations | Maintenance Services          
Segment Reporting Information [Line Items]          
Revenue 16.9 11.0 35.2 25.7  
Intersegment Eliminations | Leasing & Management Services          
Segment Reporting Information [Line Items]          
Revenue 0.2 0.3 0.7 1.0  
Earnings (loss) from operations     0.1 0.1  
Operating Segments | Manufacturing          
Segment Reporting Information [Line Items]          
Revenue 755.9 943.5 2,287.6 2,699.9  
Earnings (loss) from operations 66.1 52.0 187.6 108.0  
Assets 1,812.5   1,812.5   1,847.0
Operating Segments | Maintenance Services          
Segment Reporting Information [Line Items]          
Revenue 86.8 133.9 264.1 332.1  
Earnings (loss) from operations 5.9 11.0 21.1 23.3  
Assets 286.7   286.7   294.4
Operating Segments | Leasing & Management Services          
Segment Reporting Information [Line Items]          
Revenue 65.4 45.3 166.7 135.9  
Earnings (loss) from operations 40.5 25.9 100.1 82.3  
Assets 1,669.1   1,669.1   1,458.1
Operating Segments | Unallocated, including cash          
Segment Reporting Information [Line Items]          
Assets 347.5   347.5   $ 378.9
Reconciling Items          
Segment Reporting Information [Line Items]          
Earnings (loss) from operations     200.7 113.3  
Reconciling Items | Manufacturing          
Segment Reporting Information [Line Items]          
Earnings (loss) from operations 54.2 44.1 167.3 87.3  
Reconciling Items | Maintenance Services          
Segment Reporting Information [Line Items]          
Earnings (loss) from operations 5.9 11.0 21.1 23.3  
Reconciling Items | Leasing & Management Services          
Segment Reporting Information [Line Items]          
Earnings (loss) from operations $ 40.5 $ 25.9 $ 100.0 $ 82.2