REVENUES (Details) € in Millions, $ in Millions	3 Months Ended				12 Months Ended
	Mar. 31, 2019 EUR (€)	Mar. 31, 2019 USD ($)	Mar. 31, 2018 EUR (€)	Mar. 31, 2018 USD ($)	Dec. 31, 2018 USD ($)
Disaggregation of revenue
Net sales | $		$ 3,505.4		$ 3,470.9	$ 14,668.2
Global Industrial
Disaggregation of revenue
Net sales	€ 1,281.3		€ 1,225.9
Global Institutional
Disaggregation of revenue
Net sales	1,208.5		1,206.3
Global Energy
Disaggregation of revenue
Net sales	809.4		842.9
Other
Disaggregation of revenue
Net sales	206.2		195.8
Product and sold equipment
Disaggregation of revenue
Net sales | $		2,886.3		2,859.6
Product and sold equipment | Global Industrial
Disaggregation of revenue
Net sales | $		1,125.6		1,069.8
Product and sold equipment | Global Institutional
Disaggregation of revenue
Net sales | $		1,030.6		1,038.6
Product and sold equipment | Global Energy
Disaggregation of revenue
Net sales | $		709.4		732.6
Product and sold equipment | Other
Disaggregation of revenue
Net sales | $		20.7		18.6
Service and lease equipment
Disaggregation of revenue
Net sales | $		619.1		611.3
Service and lease equipment | Global Industrial
Disaggregation of revenue
Net sales | $		155.7		156.1
Service and lease equipment | Global Institutional
Disaggregation of revenue
Net sales | $		177.9		167.7
Service and lease equipment | Global Energy
Disaggregation of revenue
Net sales | $		100.0		110.3
Service and lease equipment | Other
Disaggregation of revenue
Net sales | $		$ 185.5		$ 177.2
North America | Global Industrial
Disaggregation of revenue
Net sales	597.7		556.7
North America | Global Institutional
Disaggregation of revenue
Net sales	832.8		817.0
North America | Global Energy
Disaggregation of revenue
Net sales	469.7		485.1
North America | Other
Disaggregation of revenue
Net sales	€ 138.3		€ 130.0
U.S.
Disaggregation of revenue
Percentage of consolidated sales	54.00%	54.00%	53.00%	53.00%
Europe | Global Industrial
Disaggregation of revenue
Net sales	€ 309.0		€ 297.2
Europe | Global Institutional
Disaggregation of revenue
Net sales	231.9		244.6
Europe | Global Energy
Disaggregation of revenue
Net sales	100.3		101.8
Europe | Other
Disaggregation of revenue
Net sales	30.4		30.3
Asia Pacific | Global Industrial
Disaggregation of revenue
Net sales	164.4		160.9
Asia Pacific | Global Institutional
Disaggregation of revenue
Net sales	59.7		60.3
Asia Pacific | Global Energy
Disaggregation of revenue
Net sales	57.6		67.4
Asia Pacific | Other
Disaggregation of revenue
Net sales	9.8		8.9
Latin America | Global Industrial
Disaggregation of revenue
Net sales	117.0		109.3
Latin America | Global Institutional
Disaggregation of revenue
Net sales	40.6		41.2
Latin America | Global Energy
Disaggregation of revenue
Net sales	49.6		54.6
Latin America | Other
Disaggregation of revenue
Net sales	11.8		11.7
Greater China | Global Industrial
Disaggregation of revenue
Net sales	62.9		71.1
Greater China | Global Institutional
Disaggregation of revenue
Net sales	31.5		29.3
Greater China | Global Energy
Disaggregation of revenue
Net sales	20.5		18.3
Greater China | Other
Disaggregation of revenue
Net sales	13.2		12.0
Middle East and Africa ("MEA") | Global Industrial
Disaggregation of revenue
Net sales	30.3		30.7
Middle East and Africa ("MEA") | Global Institutional
Disaggregation of revenue
Net sales	12.0		13.9
Middle East and Africa ("MEA") | Global Energy
Disaggregation of revenue
Net sales	111.7		115.7
Middle East and Africa ("MEA") | Other
Disaggregation of revenue
Net sales	€ 2.7		€ 2.9