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Inventories, net - Allowance for Obsolescence (Detail) - EUR (€)
€ in Millions
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Activity in the allowance for obsolescence      
Balance at beginning of year € (418.0) € (473.2)  
Additions for the year (278.5) (180.7) € (192.4)
Effect of changes in exchange rates (1.1) (6.1)  
Utilization of the reserve 230.7 242.0  
Balance at end of year € (466.9) € (418.0) € (473.2)