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ACQUISITIONS AND DIVESTITURES - Narratives (Details) - USD ($) $ / shares in Units, $ in Millions					3 Months Ended		12 Months Ended
	Sep. 20, 2019	Aug. 30, 2019	Mar. 14, 2019	Oct. 01, 2018	Dec. 28, 2019	Dec. 29, 2018	Sep. 30, 2019
Business Acquisition [Line Items]
Payments to Acquire Businesses, Net of Cash Acquired					$ 0.0	$ 29.0
GOODWILL					7,846.0		$ 7,820.0
Esterline [Member]
Business Acquisition [Line Items]
Business Acquisition, Share Price			$ 122.50
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents			$ 398.2
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net			3,923.9
Payments to Acquire Businesses, Net of Cash Acquired			3,536.3
Restricted cash			387.6
GOODWILL			2,190.0
Amount of goodwill expected to be tax deductible			25.6
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill			1,300.0
Business acquisition, Intangibles, Tax Deductible Amount			48.9
Loss Contingency Accrual			$ 268.4		222.5		231.8
Loss Contingency Accrual, Period Increase (Decrease)							9.1
Loss Contingency, Accrual, Current					71.9		60.0
Loss Contingency, Accrual, Noncurrent					$ 150.6		171.8
Stormscope [Member]
Business Acquisition [Line Items]
Payments to Acquire Businesses, Net of Cash Acquired		$ 20.0
Amount of goodwill expected to be tax deductible		11.1
Business acquisition, Intangibles, Tax Deductible Amount		$ 7.5
Tax benefit recognition period (in years)		15 years
NavCom [Member]
Business Acquisition [Line Items]
Payments to Acquire Businesses, Net of Cash Acquired				$ 27.0
Amount of goodwill expected to be tax deductible				$ 9.0
Tax benefit recognition period (in years)				15 years
Souriau Sunbank [Member]
Business Acquisition [Line Items]
Loss Contingency Accrual							9.3
Divestiture, Sale Price							$ 920.0
Esterline Interface Technology Group [Member]
Business Acquisition [Line Items]
Divestiture, Sale Price	$ 190.0
Minimum [Member]
Business Acquisition [Line Items]
Air Transportation Equipment Estimated Useful Life					25 years
Maximum [Member]
Business Acquisition [Line Items]
Air Transportation Equipment Estimated Useful Life					30 years