Consolidated Statements of Cash Flows - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Operating Activities:
Net earnings	$ 1,234.7	$ 958.0	$ 605.8
Adjustments to reconcile net earnings to net cash provided by operating activities:
Depreciation and amortization of property, plant and equipment	376.5	372.8	331.2
Amortization of intangibles	201.6	187.4	175.3
Inventory step-up amortization	29.0	7.4	9.6
Loss (gain) on sales of businesses	13.5	(17.0)	0.8
Loss on debt extinguishments	46.9	17.9	0.0
Stock-based compensation expense	109.1	88.8	76.5
Provision for credit losses	41.1	33.0	28.0
Share of net (earnings) losses of equity method investment	(9.1)	11.2	0.0
Deferred tax (benefit) expense	(241.7)	(17.9)	191.1
Other non-cash items	44.7	(13.8)	10.1
Changes in operating assets and liabilities:
Accounts receivable	(39.6)	137.8	(48.8)
Inventories	(401.5)	137.7	(401.6)
Accounts payable	310.4	(169.1)	211.0
Deferred revenue	(0.3)	8.5	1.5
Other current assets	(100.2)	(183.6)	(4.4)
Other long-term assets	(14.0)	(37.3)	28.9
Accrued expenses	381.7	123.6	70.1
Defined benefit liabilities	(40.2)	(47.6)	(44.7)
Other long-term liabilities	79.5	(92.1)	20.5
Net cash provided by operating activities	2,022.1	1,505.7	1,260.9
Investing Activities:
Capital and software expenditures	(348.1)	(424.7)	(492.1)
Sales of assets	19.9	100.1	45.2
Business acquisitions, net of cash acquired	(1,324.4)	(685.4)	(524.6)
Sales of businesses, net of cash sold	59.1	76.6	(3.0)
Purchases of investments	(18.7)	(260.6)	(21.7)
Net investment hedge settlements	41.0	8.0	25.7
Other	(5.9)	(22.6)	(18.6)
Net cash used in investing activities	(1,577.1)	(1,208.6)	(989.1)
Financing Activities:
Payments on long-term debt	(1,154.3)	(1,150.0)	(977.5)
Proceeds from debt issuances, net of fees	2,222.5	496.2	990.0
Net short-term (repayments) borrowings	(342.6)	(18.1)	433.2
Stock purchase contract fees	59.8	40.3	40.3
Purchases of common stock for treasury	(26.2)	(27.5)	(527.1)
Proceeds from issuances of preferred stock	0.0	735.0	0.0
Premium paid on equity options	0.0	(19.2)	(57.3)
Premium paid on debt extinguishment	(48.7)	0.0	0.0
Proceeds from issuances of common stock	897.0	146.0	38.5
Craftsman deferred purchase price	(250.0)	0.0	0.0
Craftsman contingent consideration	45.9
Termination of interest rate swaps	(20.5)	(1.0)	(22.7)
Cash dividends on common stock	(431.8)	(402.0)	(384.9)
Cash dividends on preferred stock	(18.8)	0.0	0.0
Other	(10.6)	(11.6)	(13.5)
Net cash provided by (used in) financing activities	615.9	(292.5)	(561.6)
Effect of exchange rate changes on cash and cash equivalents	22.8	(1.4)	(53.9)
Change in cash, cash equivalents and restricted cash	1,083.7	3.2	(343.7)
Cash, cash equivalents and restricted cash, beginning of year	314.6	311.4	655.1
Cash, cash equivalents and restricted cash, end of year	1,398.3	314.6	311.4
Supplemental Cash Flow Information [Abstract]
Cash, cash equivalents and restricted cash	1,398.3	311.4	311.4
Craftsman
Financing Activities:
Craftsman contingent consideration	45.9	0.0	0.0
Consolidated Aerospace Manufacturing (CAM)
Financing Activities:
Craftsman contingent consideration	$ 94.4	$ 0.0	$ 0.0