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Acquisitions - Schedule of Assets Acquired and Liabilities Assumed from Airxcel (Details) - USD ($)
$ in Thousands
3 Months Ended
Sep. 01, 2021
Oct. 31, 2022
Jan. 31, 2022
Oct. 31, 2021
Jul. 31, 2022
Jul. 31, 2021
Business Acquisition [Line Items]            
Goodwill   $ 1,783,954   $ 1,915,388 $ 1,804,151 $ 1,563,255
Total cash consideration for acquisition, less cash acquired   $ 0   $ 747,937    
AirX Intermediate Inc.            
Business Acquisition [Line Items]            
Cash $ 23,404          
Inventory 71,150          
Other assets 62,657          
Property, plant and equipment 40,518          
Goodwill 372,608          
Current liabilities (115,535)          
Deferred income tax liabilities (77,086)          
Other liabilities (10,494)          
Non-controlling interest (739)          
Total fair value of net assets acquired 768,683          
Less: cash acquired (23,404)          
Total cash consideration for acquisition, less cash acquired 745,279   $ 745,279      
AirX Intermediate Inc. | Customer relationships            
Business Acquisition [Line Items]            
Amortizable intangible assets: 284,000          
AirX Intermediate Inc. | Trademarks            
Business Acquisition [Line Items]            
Amortizable intangible assets: 56,900          
AirX Intermediate Inc. | Design technology assets            
Business Acquisition [Line Items]            
Amortizable intangible assets: 60,600          
AirX Intermediate Inc. | Backlog            
Business Acquisition [Line Items]            
Amortizable intangible assets: $ 700