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Goodwill and Purchased Intangible Assets - Purchased Intangible Assets, Net (Details) - USD ($)
$ in Millions
Dec. 31, 2023
Dec. 31, 2022
Finite-Lived Intangible Assets [Line Items]    
Gross $ 1,059.0 $ 1,059.0
Accumulated Amortization (909.3) (840.6)
Accumulated Impairments and Other Charges (57.9) (57.9)
Net 91.8 160.5
Technologies and patents    
Finite-Lived Intangible Assets [Line Items]    
Gross 913.1 913.1
Accumulated Amortization (779.1) (721.3)
Accumulated Impairments and Other Charges (55.1) (55.1)
Net 78.9 136.7
Customer contracts, support agreements, and related relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross 136.3 136.3
Accumulated Amortization (120.9) (111.2)
Accumulated Impairments and Other Charges (2.8) (2.8)
Net 12.6 22.3
Trade names and other    
Finite-Lived Intangible Assets [Line Items]    
Gross 9.6 9.6
Accumulated Amortization (9.3) (8.1)
Accumulated Impairments and Other Charges 0.0 0.0
Net $ 0.3 $ 1.5