Intangible Assets and Goodwill (Changes In Carrying Amount Of Goodwill By Operating Segment) (Details) $ in Millions	12 Months Ended
	Jan. 03, 2025 USD ($)
Goodwill [Roll Forward]
Goodwill, beginning balance	$ 5,350.6
Additions due to acquisitions	16.2
Assets held for sale	(92.3)
Foreign currency translation and other adjustments	(144.4)
Goodwill, ending balance	4,988.4
Held-for-sale
Goodwill [Roll Forward]
Assets held for sale	(141.7)
AECO
Goodwill [Roll Forward]
Goodwill, beginning balance	1,996.9
Additions due to acquisitions	16.2
Assets held for sale	(0.8)
Foreign currency translation and other adjustments	(26.2)
Goodwill, ending balance	1,986.1
AECO | Held-for-sale
Goodwill [Roll Forward]
Assets held for sale	0.0
Field Systems
Goodwill [Roll Forward]
Goodwill, beginning balance	1,063.5
Additions due to acquisitions	0.0
Assets held for sale	(91.5)
Foreign currency translation and other adjustments	(13.8)
Goodwill, ending balance	958.2
Field Systems | Held-for-sale
Goodwill [Roll Forward]
Assets held for sale	0.0
T&L
Goodwill [Roll Forward]
Goodwill, beginning balance	2,290.2
Additions due to acquisitions	0.0
Assets held for sale	0.0
Foreign currency translation and other adjustments	(104.4)
Goodwill, ending balance	2,044.1
T&L | Held-for-sale
Goodwill [Roll Forward]
Assets held for sale	$ (141.7)