CAPITAL STOCK - Reconciliation of Net Earnings Attributable to Common Shareholders and Weighted Average Shares Outstanding used to Calculate Basic and Diluted Earnings per Share (Detail) - USD ($) $ / shares in Units, shares in Thousands, $ 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
Numerator
Net earnings from Continuing Operations Attributable to Common Shareowners - Diluted	$ 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
Denominator
Basic weighted-average shares outstanding (in shares)									158,760	154,176	148,365
Dilutive effect of stock contracts and awards (in shares)									6,264	8,251	8,016
Diluted weighted-average shares outstanding (in shares)									165,024	162,427	156,381
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