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Goodwill and other intangible assets, net - Schedule of Finite-Lived Intangible Assets (Details) - USD ($)
$ in Thousands
Sep. 28, 2025
Dec. 31, 2024
Finite-Lived Intangible Assets [Line Items]    
Gross carrying amount $ 4,295,231 $ 3,896,260
Accumulated Amortization (1,884,825) (1,627,546)
Titan SGS    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets 25,100  
In-process research and development    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets 6,417 23,666
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets 1,540,494 1,354,087
Accumulated Amortization (679,925) (620,619)
Intellectual property    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets 2,098,525 1,870,407
Accumulated Amortization (1,038,075) (863,066)
Distribution rights    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets 19,406 23,004
Accumulated Amortization (18,663) (22,524)
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets 608,459 603,202
Accumulated Amortization (126,232) (99,443)
Non-compete agreements    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets 21,930 21,894
Accumulated Amortization $ (21,930) $ (21,894)