BASIS OF PRESENTATION - Reportable and Other Operating Segments (Details) - USD ($)	3 Months Ended		6 Months Ended
	Jul. 01, 2023	Jul. 02, 2022	Jul. 01, 2023	Jul. 02, 2022
Assets acquired:
Consolidated operating income	$ 51,300,000	$ 27,200,000	$ 101,100,000	$ 38,600,000
Acquisition-related costs	1,500,000	900,000	2,100,000	1,000,000.0
Amortization of intangible assets	11,500,000	7,100,000	17,800,000	16,400,000
Special charges, net	0	100,000	0	100,000
As Previously Presented
Assets acquired:
Consolidated operating income		27,200,000		38,600,000
Effect of Change
Assets acquired:
Consolidated operating income		0		0
Operating Segments
Assets acquired:
Consolidated operating income	84,400,000	56,100,000	158,800,000	95,700,000
Operating Segments | HVAC reportable segment
Assets acquired:
Consolidated operating income	55,200,000	28,300,000	102,900,000	48,900,000
Special charges, net		100,000		100,000
Operating Segments | Detection and Measurement reportable segment
Assets acquired:
Consolidated operating income	29,200,000	27,800,000	55,900,000	46,800,000
Special charges, net		0		0
Operating Segments | As Previously Presented
Assets acquired:
Consolidated operating income		48,100,000		78,300,000
Operating Segments | As Previously Presented | HVAC reportable segment
Assets acquired:
Consolidated operating income		25,600,000		40,800,000
Operating Segments | As Previously Presented | Detection and Measurement reportable segment
Assets acquired:
Consolidated operating income		22,500,000		37,500,000
Operating Segments | Effect of Change
Assets acquired:
Consolidated operating income		8,000,000.0		17,400,000
Operating Segments | Effect of Change | HVAC reportable segment
Assets acquired:
Consolidated operating income		2,700,000		8,100,000
Operating Segments | Effect of Change | Detection and Measurement reportable segment
Assets acquired:
Consolidated operating income		5,300,000		9,300,000
Corporate expense
Assets acquired:
Corporate expense	16,600,000	16,400,000	31,200,000	33,000,000.0
Corporate expense | As Previously Presented
Assets acquired:
Corporate expense		16,400,000		33,000,000.0
Corporate expense | Effect of Change
Assets acquired:
Corporate expense		0		0
Segment Reconciling Items
Assets acquired:
Acquisition-related costs	1,500,000	900,000	2,100,000	1,000,000.0
Long-term incentive compensation expense	3,500,000	2,500,000	6,600,000	5,600,000
Amortization of intangible assets	11,500,000	7,100,000	17,800,000	16,400,000
Special charges, net	$ 0	100,000	$ 0	100,000
Other operating expense, net		1,900,000		1,000,000.0
Segment Reconciling Items | As Previously Presented
Assets acquired:
Acquisition-related costs		0		0
Long-term incentive compensation expense		2,500,000		5,600,000
Amortization of intangible assets		0		0
Special charges, net		100,000		100,000
Other operating expense, net		1,900,000		1,000,000.0
Segment Reconciling Items | Effect of Change
Assets acquired:
Acquisition-related costs		900,000		1,000,000.0
Long-term incentive compensation expense		0		0
Amortization of intangible assets		7,100,000		16,400,000
Special charges, net		0		0
Other operating expense, net		$ 0		$ 0