Goodwill (Details) - USD ($) $ in Millions			12 Months Ended
	Jan. 01, 2023	Jan. 01, 2022	Dec. 31, 2023	Dec. 31, 2022	Dec. 31, 2021
Goodwill
Goodwill	$ 5,050.6	$ 4,908.7	$ 5,080.9	$ 5,050.6	$ 4,908.7
Goodwill, Acquired/(Disposed) During Period			3.1	203.0
Goodwill, Transfers	0.0	0.0
Current year acquisitions/(dispositions)			11.7
Foreign currency and other			27.2	(61.1)
IAN
Goodwill
Goodwill	0.0	0.0	0.0	0.0	4,231.6
Goodwill, Transfers	0.0	(4,231.6)
Current year acquisitions/(dispositions)			0.0	0.0
Foreign currency and other			0.0	0.0
DXTRA
Goodwill
Goodwill	0.0	0.0	0.0	0.0	677.1
Goodwill, Transfers	0.0	(677.1)
Current year acquisitions/(dispositions)			0.0	0.0
Foreign currency and other			0.0	0.0
MD&E
Goodwill
Goodwill	2,668.2	2,293.0	2,677.5	2,487.6	0.0
Goodwill, Acquired/(Disposed) During Period			2.2	209.5
Goodwill, Transfers	180.6	2,293.0
Foreign currency and other			7.1	(14.9)
IA&C
Goodwill
Goodwill	1,698.0	1,920.2	1,723.2	1,878.6	0.0
Goodwill, Acquired/(Disposed) During Period			10.7	(6.5)
Goodwill, Transfers	(180.6)	1,920.2
Foreign currency and other			14.5	(35.1)
SC&E
Goodwill
Goodwill	684.4	695.5	680.2	684.4	$ 0.0
Goodwill, Acquired/(Disposed) During Period			(9.8)	0.0
Goodwill, Transfers	$ 0.0	$ 695.5
Foreign currency and other			$ 5.6	$ (11.1)