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Goodwill and Purchased Intangible Assets - Schedule of Changes in Goodwill (Details) - USD ($)
 3 Months Ended 12 Months Ended
Oct. 01, 2022
Sep. 30, 2022
Dec. 31, 2023
Dec. 31, 2022
Changes in goodwill        
Net goodwill at the beginning of the period     $ 1,042,000,000 $ 1,049,000,000
Foreign currency translation     7,100,000 (12,300,000)
Acquisitions     367,300,000 7,400,000
Impairment $ 0 $ (2,100,000)   (2,100,000)
Net goodwill at the end of the period     1,416,400,000 1,042,000,000
Access        
Changes in goodwill        
Net goodwill at the beginning of the period     865,800,000 877,600,000
Foreign currency translation     7,100,000 (11,800,000)
Acquisitions     107,000,000  
Net goodwill at the end of the period     979,900,000 865,800,000
Defense        
Changes in goodwill        
Net goodwill at the beginning of the period     44,400,000 44,400,000
Net goodwill at the end of the period     44,400,000 44,400,000
Vocational        
Changes in goodwill        
Net goodwill at the beginning of the period     131,800,000 127,000,000
Foreign currency translation       (500,000)
Acquisitions     260,300,000 7,400,000
Impairment       (2,100,000)
Net goodwill at the end of the period     $ 392,100,000 $ 131,800,000