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Summary of Accounting Policies - Narrative (Details)
shares in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2021
USD ($)
Dec. 31, 2022
USD ($)
reporting_unit
shares
Dec. 31, 2021
USD ($)
shares
Dec. 31, 2020
USD ($)
shares
Nov. 22, 2022
Dec. 30, 2021
USD ($)
Jan. 01, 2020
USD ($)
Dec. 31, 2019
USD ($)
Summary Of Accounting Policies [Line Items]                
Decrease to retained earnings $ (11,563,800,000) $ (16,037,800,000) $ (11,563,800,000) $ (10,479,800,000)       $ (9,491,900,000)
Cash equivalents 0 $ 432,900,000 $ 0          
Antidilutive securities excluded from computation of earnings per share (in shares) | shares   834 521 208        
Number of reporting units | reporting_unit   21            
Goodwill 13,476,300,000 $ 15,946,100,000 $ 13,476,300,000 $ 13,338,400,000   $ 138,800,000    
Loss from impairment   0 94,400,000 0        
Research and development expense   529,800,000 484,800,000 382,400,000        
Allowance for doubtful accounts receivable and sales returns and allowances net current 15,700,000 16,600,000 15,700,000          
Deferred commission, non-current 32,500,000 33,100,000 32,500,000          
Deferred commission, current 24,200,000 31,700,000 24,200,000          
Deferred commissions expense   30,700,000 27,200,000 30,100,000        
Remaining performance obligations   4,214,000,000            
Capitalized computer software, net 65,900,000 $ 83,900,000 65,900,000          
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2023-01-01                
Summary Of Accounting Policies [Line Items]                
Remaining performance obligations, percentage (as a percent)   69.00%            
Remaining performance obligations, expected timing of revenue recognition   12 months            
Software licenses                
Summary Of Accounting Policies [Line Items]                
Subscription term (in years)   1 year            
Trade names                
Summary Of Accounting Policies [Line Items]                
Loss from impairment $ 94,400,000              
Royalty rate                
Summary Of Accounting Policies [Line Items]                
Intangible assets measurement input 0.005              
Intangible assets measurement input increase (decrease) 0.035              
Minimum                
Summary Of Accounting Policies [Line Items]                
Goodwill   $ 17,500,000,000            
Minimum | Software licenses                
Summary Of Accounting Policies [Line Items]                
Number of days for payment (in days)   30 days            
Minimum | PCS                
Summary Of Accounting Policies [Line Items]                
Number of days for payment (in days)   30 days            
Minimum | Engineered products                
Summary Of Accounting Policies [Line Items]                
Number of days for payment (in days)   30 days            
Maximum                
Summary Of Accounting Policies [Line Items]                
Goodwill   $ 3,363,100,000,000            
Maximum | Software licenses                
Summary Of Accounting Policies [Line Items]                
Number of days for payment (in days)   60 days            
Maximum | PCS                
Summary Of Accounting Policies [Line Items]                
Number of days for payment (in days)   60 days            
Maximum | Engineered products                
Summary Of Accounting Policies [Line Items]                
Number of days for payment (in days)   60 days            
Indicor                
Summary Of Accounting Policies [Line Items]                
Equity method investment, ownership percentage   49.00%            
Retained earnings                
Summary Of Accounting Policies [Line Items]                
Decrease to retained earnings $ (9,455,600,000) $ (13,730,700,000) $ (9,455,600,000) $ (8,546,200,000)       (7,818,000,000)
Cumulative Effect, Period of Adoption, Adjustment                
Summary Of Accounting Policies [Line Items]                
Decrease to retained earnings               1,700,000
Cumulative Effect, Period of Adoption, Adjustment | Retained earnings                
Summary Of Accounting Policies [Line Items]                
Decrease to retained earnings             $ 1,700,000 $ 1,700,000
Held-for-sale or Disposed of by Sale | Industrial Businesses                
Summary Of Accounting Policies [Line Items]                
Ownership interest divested, percent         51.00%      
Retaining minority interest   49.00%