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Segment Information - Segments Internal Financial Reports (Detail) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
May 31, 2025
May 31, 2024
May 31, 2025
May 31, 2024
Aug. 31, 2024
Segment Reporting Information [Line Items]          
Revenue $ 842.7 $ 820.2 $ 2,480.7 $ 2,491.7  
Earnings (loss) from operations 92.6 72.3 288.0 200.7  
Assets 4,353.2   4,353.2   $ 4,254.5
Manufacturing          
Segment Reporting Information [Line Items]          
Revenue 778.2 755.0 2,298.9 2,325.7  
Leasing & Fleet Management          
Segment Reporting Information [Line Items]          
Revenue 64.5 65.2 181.8 166.0  
Corporate, Non-Segment          
Segment Reporting Information [Line Items]          
Revenue        
Earnings (loss) from operations (36.0) (28.3) (98.0) (87.7)  
Intersegment Eliminations          
Segment Reporting Information [Line Items]          
Revenue (15.2) (75.3) (71.7) (197.6)  
Earnings (loss) from operations (1.5) (11.9) (11.2) (20.4)  
Intersegment Eliminations | Manufacturing          
Segment Reporting Information [Line Items]          
Revenue 15.2 75.1 71.3 196.9  
Earnings (loss) from operations 1.5 11.9 11.2 20.3  
Intersegment Eliminations | Leasing & Fleet Management          
Segment Reporting Information [Line Items]          
Revenue 0.0 0.2 0.4 0.7  
Earnings (loss) from operations   0.0 0.1  
Operating Segments | Manufacturing          
Segment Reporting Information [Line Items]          
Revenue 793.4 830.1 2,370.2 2,522.6  
Earnings (loss) from operations 84.8 72.0 279.6 208.7  
Assets 2,071.2   2,071.2   2,172.4
Operating Segments | Leasing & Fleet Management          
Segment Reporting Information [Line Items]          
Revenue 64.5 65.4 182.2 166.7  
Earnings (loss) from operations 45.3 40.5 117.6 100.1  
Assets 1,858.2   1,858.2   1,633.6
Operating Segments | Unallocated, including cash          
Segment Reporting Information [Line Items]          
Assets 423.8   423.8   $ 448.5
Reconciling Items | Manufacturing          
Segment Reporting Information [Line Items]          
Earnings (loss) from operations 83.3 60.1 268.4 188.4  
Reconciling Items | Leasing & Fleet Management          
Segment Reporting Information [Line Items]          
Earnings (loss) from operations $ 45.3 $ 40.5 $ 117.6 $ 100.0