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INFORMATION ON REPORTABLE SEGMENTS - Financial Data (Details) - USD ($)
 3 Months Ended 9 Months Ended
Sep. 30, 2023
Oct. 01, 2022
Sep. 30, 2023
Oct. 01, 2022
Revenues:        
Revenues $ 448,700,000 $ 370,500,000 $ 1,271,800,000 $ 1,031,600,000
Income:        
Consolidated operating income 57,700,000 37,300,000 158,800,000 75,900,000
Acquisition-related and other costs 2,900,000   5,000,000.0  
Amortization of intangible assets 14,600,000 6,700,000 32,400,000 23,100,000
Special charges, net 0 0 0 100,000
Other operating expense, net 0 0 0 1,000,000.0
ASPEQ Parent Holdings, Inc.        
Income:        
Acquisition-related and other costs     5,100,000  
Amortization of intangible assets 6,700,000   9,400,000  
ITL        
Income:        
Acquisition-related and other costs   100,000   1,100,000
Step-Up of Inventory | ASPEQ Parent Holdings, Inc. | Cost of Sales        
Income:        
Acquisition-related and other costs 2,500,000   3,600,000  
Step-Up of Inventory | ITL | Cost of Sales        
Income:        
Acquisition-related and other costs   100,000   1,100,000
HVAC reportable segment        
Revenues:        
Revenues 289,200,000 227,800,000 809,800,000 639,600,000
Detection and Measurement reportable segment        
Revenues:        
Revenues 159,500,000 142,700,000 462,000,000.0 392,000,000.0
Operating Segments        
Revenues:        
Revenues 448,700,000 370,500,000 1,271,800,000 1,031,600,000
Income:        
Consolidated operating income 91,600,000 63,400,000 250,400,000 159,100,000
Operating Segments | HVAC reportable segment        
Revenues:        
Revenues 289,200,000 227,800,000 809,800,000 639,600,000
Income:        
Consolidated operating income 58,300,000 33,100,000 161,200,000 82,000,000.0
Special charges, net   0   100,000
Operating Segments | Detection and Measurement reportable segment        
Revenues:        
Revenues 159,500,000 142,700,000 462,000,000.0 392,000,000.0
Income:        
Consolidated operating income 33,300,000 30,300,000 89,200,000 77,100,000
Special charges, net   0   0
Corporate expense        
Income:        
Corporate expense 13,000,000.0 17,200,000 44,200,000 50,200,000
Segment Reconciling Items        
Income:        
Acquisition-related and other costs 2,900,000 100,000 5,000,000.0 1,100,000
Long-term incentive compensation expense 3,400,000 2,100,000 10,000,000.0 7,700,000
Amortization of intangible assets 14,600,000 6,700,000 32,400,000 23,100,000
Special charges, net 0 0 0 100,000
Other operating expense, net $ 0 $ 0 $ 0 $ 1,000,000.0