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Acquisitions - Summary of Fair Value of Assets Acquired and Liabilities Assumed by Major Class (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Oct. 31, 2021
Oct. 31, 2021
Jan. 31, 2021
Business Acquisition [Line Items]      
Goodwill $ 3,579.2 $ 3,579.2 $ 2,706.5
Innovyze, Inc.      
Business Acquisition [Line Items]      
Goodwill 764.4 764.4  
Deferred revenue and long-term deferred revenue (12.3) (12.3)  
Long-term deferred income taxes (42.4) (42.4)  
Net tangible assets 7.3 7.3  
Total 1,035.5 1,035.5  
Goodwill, purchase accounting adjustments 2.8 2.8  
Upchain      
Business Acquisition [Line Items]      
Goodwill 98.3 98.3  
Deferred revenue and long-term deferred revenue (2.6) (2.6)  
Long-term deferred income taxes (0.7) (0.7)  
Net tangible assets 0.2 0.2  
Total 123.6 123.6  
Other Acquisition      
Business Acquisition [Line Items]      
Goodwill 24.1 24.1  
Deferred revenue and long-term deferred revenue 0.0 0.0  
Long-term deferred income taxes 0.0 0.0  
Net tangible assets  
Total 33.5 33.5  
Innovyze, Inc., Upchain And Other Acquisition      
Business Acquisition [Line Items]      
Goodwill 886.8 886.8  
Deferred revenue and long-term deferred revenue (14.9) (14.9)  
Long-term deferred income taxes (43.1) (43.1)  
Net tangible assets 7.5 7.5  
Total 1,192.6 1,192.6  
Developed technologies | Innovyze, Inc.      
Business Acquisition [Line Items]      
Finite-lived intangibles 93.0 93.0  
Developed technologies | Upchain      
Business Acquisition [Line Items]      
Finite-lived intangibles 17.6 17.6  
Developed technologies | Other Acquisition      
Business Acquisition [Line Items]      
Finite-lived intangibles 9.4 9.4  
Developed technologies | Innovyze, Inc., Upchain And Other Acquisition      
Business Acquisition [Line Items]      
Finite-lived intangibles 120.0 120.0  
Customer relationships | Innovyze, Inc.      
Business Acquisition [Line Items]      
Finite-lived intangibles 221.0 221.0  
Customer relationships | Upchain      
Business Acquisition [Line Items]      
Finite-lived intangibles 10.4 10.4  
Customer relationships | Other Acquisition      
Business Acquisition [Line Items]      
Finite-lived intangibles 0.0 0.0  
Customer relationships | Innovyze, Inc., Upchain And Other Acquisition      
Business Acquisition [Line Items]      
Finite-lived intangibles 231.4 231.4  
Trade name | Innovyze, Inc.      
Business Acquisition [Line Items]      
Finite-lived intangibles 4.0 4.0  
Trade name | Upchain      
Business Acquisition [Line Items]      
Finite-lived intangibles 0.4 0.4  
Trade name | Other Acquisition      
Business Acquisition [Line Items]      
Finite-lived intangibles 0.0 0.0  
Trade name | Innovyze, Inc., Upchain And Other Acquisition      
Business Acquisition [Line Items]      
Finite-lived intangibles 4.4 4.4  
Backlog | Innovyze, Inc.      
Business Acquisition [Line Items]      
Finite-lived intangibles 0.5 0.5  
Backlog | Upchain      
Business Acquisition [Line Items]      
Finite-lived intangibles 0.0 0.0  
Backlog | Other Acquisition      
Business Acquisition [Line Items]      
Finite-lived intangibles 0.0 0.0  
Backlog | Innovyze, Inc., Upchain And Other Acquisition      
Business Acquisition [Line Items]      
Finite-lived intangibles $ 0.5 $ 0.5