OPERATING SEGMENTS (Details) € in Millions, $ in Millions	3 Months Ended					9 Months Ended				12 Months Ended
	Sep. 30, 2018 EUR (€)	Sep. 30, 2018 USD ($)	Jun. 30, 2018 item	Sep. 30, 2017 EUR (€)	Sep. 30, 2017 USD ($)	Sep. 30, 2018 EUR (€) item	Sep. 30, 2018 USD ($) item	Sep. 30, 2017 EUR (€)	Sep. 30, 2017 USD ($)	Dec. 31, 2017 USD ($)
Financial information of reportable segments
Number of operating units | item			11
Number of reportable segments | item						3	3
Net sales		$ 3,747.2			$ 3,564.5		$ 10,907.7		$ 10,186.9	$ 13,835.9
Operating Income (Loss)		516.2			564.1		1,365.1		1,340.9	1,950.1
Previously Reported
Financial information of reportable segments
Net sales					3,563.3				10,187.6	13,838.3
Operating Income (Loss)					579.8				1,392.1	2,019.8
Global Industrial
Financial information of reportable segments
Net sales | €	€ 1,352.3			€ 1,272.9		€ 3,905.5		€ 3,595.7
Global Institutional
Financial information of reportable segments
Net sales | €	1,305.1			1,241.6		3,808.0		3,533.8
Global Energy
Financial information of reportable segments
Net sales | €	862.2			806.6		2,550.3		2,361.9
Other
Financial information of reportable segments
Net sales | €	€ 227.6			€ 243.4		€ 643.9		€ 695.5
Operating segment
Financial information of reportable segments
Net sales		3,874.9			3,643.4		11,115.2		10,519.2	14,230.0
Operating Income (Loss)		537.7			576.5		1,396.1		1,382.0	2,003.0
Operating segment | Previously Reported
Financial information of reportable segments
Net sales										13,646.2
Operating Income (Loss)										1,986.9
Operating segment | Adjustment | Fixed Currency Rate Change
Financial information of reportable segments
Net sales										586.0
Operating Income (Loss)										85.4
Operating segment | Global Industrial
Financial information of reportable segments
Net sales		1,411.6			1,309.4		4,001.4		3,754.7	5,106.8
Operating Income (Loss)		224.9			217.4		527.9		529.4	758.5
Operating segment | Global Industrial | Previously Reported
Financial information of reportable segments
Net sales										4,878.5
Operating Income (Loss)										722.0
Operating segment | Global Industrial | Adjustment | Segment Change
Financial information of reportable segments
Net sales										(56.9)
Operating Income (Loss)										2.6
Operating segment | Global Industrial | Adjustment | Fixed Currency Rate Change
Financial information of reportable segments
Net sales										286.0
Operating Income (Loss)										47.5
Operating segment | Global Institutional
Financial information of reportable segments
Net sales		1,340.8			1,268.9		3,870.5		3,646.3	4,910.0
Operating Income (Loss)		292.5			276.1		743.2		720.0	979.8
Operating segment | Global Institutional | Previously Reported
Financial information of reportable segments
Net sales										4,744.9
Operating Income (Loss)										985.7
Operating segment | Global Institutional | Adjustment | Segment Change
Financial information of reportable segments
Net sales										(23.7)
Operating Income (Loss)										(14.9)
Operating segment | Global Institutional | Adjustment | Fixed Currency Rate Change
Financial information of reportable segments
Net sales										190.2
Operating Income (Loss)										23.5
Operating segment | Global Energy
Financial information of reportable segments
Net sales		889.6			817.5		2,590.7		2,406.6	3,281.7
Operating Income (Loss)		94.1			89.8		256.4		232.8	336.1
Operating segment | Global Energy | Previously Reported
Financial information of reportable segments
Net sales										3,199.3
Operating Income (Loss)										338.5
Operating segment | Global Energy | Adjustment | Segment Change
Financial information of reportable segments
Net sales										0.7
Operating Income (Loss)										(0.7)
Operating segment | Global Energy | Adjustment | Fixed Currency Rate Change
Financial information of reportable segments
Net sales										81.7
Operating Income (Loss)										15.0
Operating segment | Other
Financial information of reportable segments
Net sales		232.9			247.6		652.6		711.6	931.5
Operating Income (Loss)		48.3			41.4		114.7		102.7	142.5
Operating segment | Other | Previously Reported
Financial information of reportable segments
Net sales										823.5
Operating Income (Loss)										149.3
Operating segment | Other | Adjustment | Segment Change
Financial information of reportable segments
Net sales										79.9
Operating Income (Loss)										13.0
Operating segment | Other | Adjustment | Fixed Currency Rate Change
Financial information of reportable segments
Net sales										28.1
Operating Income (Loss)										4.7
Currency Impact
Financial information of reportable segments
Net sales		(127.7)			(78.9)		(207.5)		(332.3)	(394.1)
Operating Income (Loss)		(21.5)			(12.4)		(31.0)		(41.1)	(52.9)
Currency Impact | Previously Reported
Financial information of reportable segments
Net sales										192.1
Operating Income (Loss)										32.9
Currency Impact | Adjustment | Fixed Currency Rate Change
Financial information of reportable segments
Net sales										(586.0)
Operating Income (Loss)										(85.4)
Corporate
Financial information of reportable segments
Operating Income (Loss)		$ (122.1)			(48.2)		(246.1)		(202.9)	(213.9)
Corporate | Previously Reported
Financial information of reportable segments
Operating Income (Loss)										(208.6)
Corporate | Adjustment | Fixed Currency Rate Change
Financial information of reportable segments
Operating Income (Loss)										(5.3)
Intersegment
Financial information of reportable segments
Net sales							$ 0.0
Revenue Standard Adoption | Adjustment
Financial information of reportable segments
Net sales					1.2				(0.7)	(2.4)
Operating Income (Loss)					1.2				(0.7)	(2.4)
Revenue Standard Adoption | Operating segment | Adjustment
Financial information of reportable segments
Net sales										(2.2)
Operating Income (Loss)										(2.2)
Revenue Standard Adoption | Operating segment | Global Industrial | Adjustment
Financial information of reportable segments
Net sales										(0.8)
Operating Income (Loss)										(0.8)
Revenue Standard Adoption | Operating segment | Global Institutional | Adjustment
Financial information of reportable segments
Net sales										(1.4)
Operating Income (Loss)										(1.4)
Revenue Standard Adoption | Currency Impact | Adjustment
Financial information of reportable segments
Net sales										(0.2)
Operating Income (Loss)										(0.2)
Pension Standard Adoption | Adjustment
Financial information of reportable segments
Operating Income (Loss)					$ (16.9)				$ (50.5)	(67.3)
Pension Standard Adoption | Operating segment | Adjustment
Financial information of reportable segments
Operating Income (Loss)										(67.1)
Pension Standard Adoption | Operating segment | Global Industrial | Adjustment
Financial information of reportable segments
Operating Income (Loss)										(12.8)
Pension Standard Adoption | Operating segment | Global Institutional | Adjustment
Financial information of reportable segments
Operating Income (Loss)										(13.1)
Pension Standard Adoption | Operating segment | Global Energy | Adjustment
Financial information of reportable segments
Operating Income (Loss)										(16.7)
Pension Standard Adoption | Operating segment | Other | Adjustment
Financial information of reportable segments
Operating Income (Loss)										(24.5)
Pension Standard Adoption | Currency Impact | Adjustment
Financial information of reportable segments
Operating Income (Loss)										$ (0.2)