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Business Combinations - Fair Values of the Assets Acquired and Liabilities Assumed (Details) - USD ($)
$ in Millions
Sep. 30, 2024
Dec. 31, 2023
Mar. 17, 2023
Net assets acquired:      
Goodwill $ 2,987.7 $ 2,906.8  
Roots Rotary Blowers Business      
Net assets acquired:      
Goodwill     $ 102.2
American Fans      
Net assets acquired:      
Goodwill     49.7
Howden Industries      
Net assets acquired:      
Cash and cash equivalents     62.5
Restricted cash     2.6
Accounts receivable     422.7
Inventories     256.8
Unbilled contract revenue     167.8
Prepaid expenses     51.9
Other current assets     101.4
Assets held for sale     225.7
Property, plant and equipment     325.1
Identifiable intangible assets     2,434.5
Equity method investments     12.0
Other assets     117.3
Accounts payable     (385.7)
Customer advances and billings in excess of contract revenue     (233.2)
Accrued salaries, wages and benefits     (103.3)
Accrued income taxes     (34.0)
Current portion of warranty reserve     (38.5)
Current portion of long-term debt     (1.4)
Other current liabilities     (158.8)
Liabilities held for sale     (43.9)
Long-term deferred tax liabilities     (663.6)
Operating lease liabilities     (52.3)
Finance lease liabilities     (8.1)
Accrued pension liabilities     (6.0)
Other long-term liabilities     (45.7)
Total identifiable net assets assumed     2,405.8
Noncontrolling interest     (146.3)
Goodwill     2,127.9
Net assets acquired     4,387.4
Assets acquired net of cash, cash equivalents and restricted cash     4,322.3
Howden Industries | Howden Hua Engineering Co      
Net assets acquired:      
Noncontrolling interest     $ (146.0)
Noncontrolling interest, ownership percentage (percent)     82.00%