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Inventories, Net (Details) - USD ($)
$ in Millions
Jan. 31, 2025
Oct. 31, 2024
Feb. 02, 2024
Inventory Disclosure [Abstract]      
Raw materials and work in process $ 397.6 $ 384.8 $ 431.0
Finished goods and service parts 918.9 827.5 902.8
Total FIFO and average cost value 1,316.5 1,212.3 1,333.8
Less: adjustment to LIFO value 173.4 173.4 156.7
Total inventories, net $ 1,143.1 $ 1,038.9 $ 1,177.1