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Intangible Assets, Net (Details) - USD ($)
$ in Millions
Jul. 31, 2023
Jan. 31, 2023
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 1,679.0 $ 1,633.0
Accumulated Amortization (1,269.0) (1,226.0)
Net 410.0 407.0
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 668.0 659.0
Accumulated Amortization (419.0) (402.0)
Net 249.0 257.0
Developed technologies    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 894.0 858.0
Accumulated Amortization (739.0) (718.0)
Net 155.0 140.0
Trade names and patents    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 116.0 116.0
Accumulated Amortization (110.0) (106.0)
Net 6.0 $ 10.0
Other    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 1.0  
Accumulated Amortization (1.0)  
Net $ 0.0