SELECTED QUARTERLY FINANCIAL DATA (unaudited) (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended								12 Months Ended
	Jan. 01, 2022	Oct. 02, 2021	Jul. 03, 2021	Apr. 03, 2021	Jan. 02, 2021	Sep. 26, 2020	Jun. 27, 2020	Mar. 28, 2020	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Quarterly Financial Data [Abstract]
Net Sales	$ 4,068.3	$ 3,865.4	$ 3,880.0	$ 3,803.5	$ 4,002.7	$ 3,488.1	$ 2,806.3	$ 2,760.6	$ 15,617.2	$ 13,057.7	$ 12,912.9
Gross profit	1,152.5	1,241.6	1,386.4	1,413.7	1,404.3	1,231.9	886.5	882.7	5,194.2	4,405.4
Selling, general and administrative	946.8	783.8	778.5	731.3	747.5	632.1	618.3	630.6	3,240.4	2,628.5
Net earnings from continuing operations	291.5	394.0	442.7	470.4	447.0	373.6	241.0	124.3	1,598.6	1,185.9	956.4
Less: Net losses attributable to non-controlling interest	0.0	(0.1)	(1.0)	(0.6)	0.4	0.3	0.3	(0.1)	(1.7)	0.9	2.2
Less: Preferred stock dividends and beneficial conversion feature	0.0	0.0	4.8	9.4	9.3	9.4	4.9	0.5	14.2	24.1	1.8
Net Earnings from Continuing Operations Attributable to Common Shareowners	291.5	394.1	438.9	461.6	437.3	363.9	235.8	123.9	1,586.1	1,160.9	952.4
Add: Contract adjustment payments accretion	0.4	0.4	0.3	0.2	0.2	0.1	0.5	0.9	1.3	1.7	1.7
Net Earnings from Continuing Operations Attributable to Common Shareowners - Diluted	291.9	394.5	439.2	461.8	437.5	364.0	236.3	124.8	1,587.4	1,162.6	954.1
Net earnings from discontinued operations	36.7	20.1	15.7	16.4	20.7	21.6	(2.3)	8.8	88.9	48.8	1.6
Net Earnings Attributable to Common Shareowners - Diluted	$ 328.6	$ 414.6	$ 454.9	$ 478.2	$ 458.2	$ 385.6	$ 234.0	$ 133.6	$ 1,676.3	$ 1,211.4	$ 955.7
Basic earnings per share of common stock:
Continuing operation (USD per share)	$ 1.83	$ 2.47	$ 2.77	$ 2.93	$ 2.79	$ 2.33	$ 1.54	$ 0.82	$ 9.99	$ 7.53	$ 6.42
Discontinued operations (USD per share)	0.23	0.13	0.10	0.10	0.13	0.14	(0.01)	0.06	0.56	0.32	0.01
Total basic earnings per share of common stock (USD per share)	2.06	2.60	2.87	3.04	2.92	2.47	1.52	0.88	10.55	7.85	6.43
Diluted earnings per share of common stock:
Continuing operations (USD per share)	1.77	2.39	2.66	2.81	2.68	2.24	1.46	0.77	9.62	7.16	6.10
Discontinued operations (USD per share)	0.22	0.12	0.09	0.10	0.13	0.13	(0.01)	0.05	0.54	0.30	0.01
Total diluted earnings per share of common stock (USD per share)	$ 1.99	$ 2.51	$ 2.75	$ 2.91	$ 2.80	$ 2.37	$ 1.45	$ 0.83	$ 10.16	$ 7.46	$ 6.11