REVENUES (Details) € in Millions, $ in Millions	3 Months Ended				9 Months Ended				12 Months Ended
	Sep. 30, 2018 EUR (€)	Sep. 30, 2018 USD ($)	Sep. 30, 2017 EUR (€)	Sep. 30, 2017 USD ($)	Sep. 30, 2018 EUR (€)	Sep. 30, 2018 USD ($)	Sep. 30, 2017 EUR (€)	Sep. 30, 2017 USD ($)	Dec. 31, 2017 USD ($)
Disaggregation of revenue
Net sales | $		$ 3,747.2		$ 3,564.5		$ 10,907.7		$ 10,186.9	$ 13,835.9
Global Industrial
Disaggregation of revenue
Net sales	€ 1,352.3		€ 1,272.9		€ 3,905.5		€ 3,595.7
Global Institutional
Disaggregation of revenue
Net sales	1,305.1		1,241.6		3,808.0		3,533.8
Global Energy
Disaggregation of revenue
Net sales	862.2		806.6		2,550.3		2,361.9
Other
Disaggregation of revenue
Net sales	227.6		243.4		643.9		695.5
Product and equipment
Disaggregation of revenue
Net sales | $		3,090.3		2,931.9		8,985.7		8,376.9
Product and equipment | Global Industrial
Disaggregation of revenue
Net sales | $		1,176.8		1,101.8		3,380.9		3,110.6
Product and equipment | Global Institutional
Disaggregation of revenue
Net sales | $		1,130.8		1,075.6		3,297.8		3,060.2
Product and equipment | Global Energy
Disaggregation of revenue
Net sales | $		761.7		712.6		2,246.6		2,079.7
Product and equipment | Other
Disaggregation of revenue
Net sales | $		21.0		41.9		60.4		126.4
Service and lease
Disaggregation of revenue
Net sales | $		656.9		632.6		1,922.0		1,810.0
Service and lease | Global Industrial
Disaggregation of revenue
Net sales | $		175.4		171.0		524.5		485.2
Service and lease | Global Institutional
Disaggregation of revenue
Net sales | $		174.3		165.9		510.2		473.5
Service and lease | Global Energy
Disaggregation of revenue
Net sales | $		100.5		93.9		303.7		282.1
Service and lease | Other
Disaggregation of revenue
Net sales | $		$ 206.7		$ 201.8		$ 583.6		$ 569.2
North America | Global Industrial
Disaggregation of revenue
Net sales	628.0		573.7		1,780.7		1,643.7
North America | Global Institutional
Disaggregation of revenue
Net sales	898.1		845.9		2,592.4		2,450.2
North America | Global Energy
Disaggregation of revenue
Net sales	502.1		445.4		1,474.8		1,323.6
North America | Other
Disaggregation of revenue
Net sales	156.9		178.1		436.3		512.3
Europe | Global Industrial
Disaggregation of revenue
Net sales	326.0		314.2		959.5		852.3
Europe | Global Institutional
Disaggregation of revenue
Net sales	260.2		250.0		774.9		666.5
Europe | Global Energy
Disaggregation of revenue
Net sales	96.7		102.5		302.5		287.0
Europe | Other
Disaggregation of revenue
Net sales	33.2		31.0		97.0		84.2
Asia Pacific | Global Industrial
Disaggregation of revenue
Net sales	171.4		168.9		503.7		483.1
Asia Pacific | Global Institutional
Disaggregation of revenue
Net sales	62.3		60.2		186.8		174.7
Asia Pacific | Global Energy
Disaggregation of revenue
Net sales	65.7		68.8		200.1		190.6
Asia Pacific | Other
Disaggregation of revenue
Net sales	10.5		8.8		29.4		24.7
Latin America | Global Industrial
Disaggregation of revenue
Net sales	121.6		113.7		350.8		326.5
Latin America | Global Institutional
Disaggregation of revenue
Net sales	40.9		41.7		124.5		122.8
Latin America | Global Energy
Disaggregation of revenue
Net sales	55.5		62.1		163.7		183.2
Latin America | Other
Disaggregation of revenue
Net sales	11.5		11.4		35.2		33.4
Middle East and Africa | Global Industrial
Disaggregation of revenue
Net sales	34.4		32.7		99.0		93.3
Middle East and Africa | Global Institutional
Disaggregation of revenue
Net sales	15.3		17.5		44.5		44.7
Middle East and Africa | Global Energy
Disaggregation of revenue
Net sales	123.5		109.9		354.1		326.8
Middle East and Africa | Other
Disaggregation of revenue
Net sales	2.8		2.8		8.5		8.4
Greater China | Global Industrial
Disaggregation of revenue
Net sales	70.9		69.7		211.8		196.8
Greater China | Global Institutional
Disaggregation of revenue
Net sales	28.3		26.3		84.9		74.9
Greater China | Global Energy
Disaggregation of revenue
Net sales	18.7		17.9		55.1		50.7
Greater China | Other
Disaggregation of revenue
Net sales	€ 12.7		€ 11.3		€ 37.5		€ 32.5