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Business Segment Information - Schedule of Net Sales by Geographical Segments (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Dec. 31, 2021
Dec. 31, 2023
Dec. 31, 2022
Sep. 30, 2021
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues $ 1,791.7 $ 9,657.9 $ 8,282.0 $ 7,737.3
North America        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 1,611.3 8,216.8 7,468.2 6,748.5
Europe, Africa and Middle East        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 99.0 948.6 455.2 504.8
Rest of the World        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 81.4 492.5 358.6 484.0
Operating Segments        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 1,791.7 9,657.9 8,282.0 7,737.3
Intersegment Eliminations        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues (2.5) (8.4) (7.1) (24.6)
Intersegment Eliminations | North America        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues (2.5) (8.4) (7.1) (24.6)
Access        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 833.3 4,990.0 3,971.9 3,067.3
Access | Operating Segments        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 833.5 4,990.0 3,972.1 3,072.1
Access | Operating Segments | North America        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 671.6 3,968.3 3,298.9 2,358.9
Access | Operating Segments | Europe, Africa and Middle East        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 86.1 573.8 353.0 273.4
Access | Operating Segments | Rest of the World        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 75.8 447.9 320.2 439.8
Access | Intersegment Eliminations        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 0.2   0.2 4.8
Access Equipment | Operating Segments        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 833.5 4,990.0 3,972.1 3,072.1
Defense        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 531.1 2,092.0 2,139.9 2,524.1
Defense | Operating Segments        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 531.5 2,098.2 2,141.3 2,525.6
Defense | Operating Segments | North America        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 523.4 1,754.3 2,047.5 2,337.8
Defense | Operating Segments | Europe, Africa and Middle East        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 8.0 342.8 92.7 183.2
Defense | Operating Segments | Rest of the World        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 0.1 1.1 1.1 4.6
Defense | Intersegment Eliminations        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 0.4 6.2 1.4 1.5
Vocational        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 427.2 2,575.9 2,170.0 2,145.2
Vocational | Operating Segments        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 429.2 2,578.1 2,175.7 2,164.2
Vocational | Operating Segments | North America        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 418.8 2,502.6 2,128.9 2,076.4
Vocational | Operating Segments | Europe, Africa and Middle East        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 4.9 32.0 9.5 48.2
Vocational | Operating Segments | Rest of the World        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues 5.5 43.5 37.3 39.6
Vocational | Intersegment Eliminations        
Revenues From External Customers And Long Lived Assets [Line Items]        
Revenues $ 2.0 $ 2.2 $ 5.7 $ 19.0