Guarantor Financial Information (Condensed Consolidating Statement of Cash Flows) (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012
Net cash (used in) provided by continuing operating activities	$ 991.7	$ 798.8	$ 882.5
Net cash (used in) provided by discontinued operating activities	(18.5)	292.7	312.9
Net cash provided by (used in) operating activities	973.2	1,091.5	1,195.4
Capital expenditures	(233.5)	(242.2)	(243.1)
Acquisition of businesses, net of cash acquired	(10.2)	0	0
Proceeds from sale of property, plant and equipment	14.4	24.3	17.9
Proceeds from business dispositions, net of cash sold	2.0	4.7	52.7
Dividends received from equity investments	30.3		44.3
Net cash (used in) provided by continuing investing activities	(197.0)	(213.2)	(128.2)
Net cash (used in) provided by discontinued investing activities	0	(2.2)	(18.3)
Net cash provided by (used in) investing activities	(197.0)	(215.4)	(146.5)
Net proceeds (repayments) in debt	(700.2)	(291.7)	413.4
Debt issuance costs	(12.3)	(13.2)	(2.5)
Net inter-company (payments) proceeds	0	0	0
Dividends paid to ordinary shareholders	(264.7)	(245.5)	(192.4)
Dividends paid to noncontrolling interests	(20.9)	(12.4)	(13.9)
Proceeds shares issued under incentive plans	113.1	272.5	172.5
Repurchase of ordinary shares	(1,374.9)	(1,213.2)	(839.8)
Transfer from Discontinued Operations	0	1,274.2	0
Other, net	0	0	6.2
Net cash (used in) provided by continuing financing activities	(859.5)	354.1	(1,295.7)
Cash Provided by (Used in) Financing Activities, Discontinued Operations	0	(7.5)	(8.2)
Net Cash Provided by (Used in) Financing Activities	(859.5)	346.6	(1,303.9)
Effect of exchange rate changes on cash and cash equivalents	(148.7)	6.1	(23.6)
Net (decrease) increase in cash and cash equivalents	(232.0)	1,228.8	(278.6)
Cash and cash equivalents - beginning of period	1,937.2	708.4	987.0
Cash and cash equivalents - end of period	1,705.2	1,937.2	708.4
IR Ireland [Member]
Net cash (used in) provided by continuing operating activities	(34.0)	(63.2)	(19.7)
Net cash (used in) provided by discontinued operating activities	(2.2)	0	0
Net cash provided by (used in) operating activities	(36.2)	(63.2)	(19.7)
Capital expenditures	0	0	0
Acquisition of businesses, net of cash acquired	0
Proceeds from sale of property, plant and equipment	0	0	0
Proceeds from business dispositions, net of cash sold	0	0	0
Dividends received from equity investments	0		0
Net cash (used in) provided by continuing investing activities	0	0	0
Net cash (used in) provided by discontinued investing activities	0	0	0
Net cash provided by (used in) investing activities	0	0	0
Net proceeds (repayments) in debt	0	0	0
Debt issuance costs	0	0	0
Net inter-company (payments) proceeds	1,562.7	(24.8)	884.5
Dividends paid to ordinary shareholders	(264.7)	(245.5)	(192.4)
Dividends paid to noncontrolling interests	0	0	0
Proceeds shares issued under incentive plans	113.1	272.5	172.5
Repurchase of ordinary shares	(1,374.9)	(1,213.2)	(839.8)
Transfer from Discontinued Operations		1,274.2
Other, net			(5.1)
Net cash (used in) provided by continuing financing activities	36.2	63.2	19.7
Cash Provided by (Used in) Financing Activities, Discontinued Operations	0	0	0
Net Cash Provided by (Used in) Financing Activities	36.2	63.2	19.7
Effect of exchange rate changes on cash and cash equivalents	0	0	0
Net (decrease) increase in cash and cash equivalents	0	0	0
Cash and cash equivalents - beginning of period	0	0	0
Cash and cash equivalents - end of period	0	0	0
IR Limited [Member]
Net cash (used in) provided by continuing operating activities	0	(0.1)	(0.4)
Net cash (used in) provided by discontinued operating activities	0	0	0
Net cash provided by (used in) operating activities	0	(0.1)	(0.4)
Capital expenditures	0	0	0
Acquisition of businesses, net of cash acquired	0
Proceeds from sale of property, plant and equipment	0	0	0
Proceeds from business dispositions, net of cash sold	0	0	0
Dividends received from equity investments	0		0
Net cash (used in) provided by continuing investing activities	0	0	0
Net cash (used in) provided by discontinued investing activities	0	0	0
Net cash provided by (used in) investing activities	0	0	0
Net proceeds (repayments) in debt	0	0	0
Debt issuance costs	0	0	0
Net inter-company (payments) proceeds	0	1,274.3	0.4
Dividends paid to ordinary shareholders	0	(1,274.2)	0
Dividends paid to noncontrolling interests	0	0	0
Proceeds shares issued under incentive plans	0	0	0
Repurchase of ordinary shares	0	0	0
Transfer from Discontinued Operations		0
Other, net			0
Net cash (used in) provided by continuing financing activities	0	0.1	0.4
Cash Provided by (Used in) Financing Activities, Discontinued Operations	0	0	0
Net Cash Provided by (Used in) Financing Activities	0	0.1	0.4
Effect of exchange rate changes on cash and cash equivalents	0	0	0
Net (decrease) increase in cash and cash equivalents	0	0	0
Cash and cash equivalents - beginning of period	0	0	0
Cash and cash equivalents - end of period	0	0	0
IR International [Member]
Net cash (used in) provided by continuing operating activities	(18.3)	(14.2)	(15.1)
Net cash (used in) provided by discontinued operating activities	0	0	0
Net cash provided by (used in) operating activities	(18.3)	(14.2)	(15.1)
Capital expenditures	0	0	0
Acquisition of businesses, net of cash acquired	0
Proceeds from sale of property, plant and equipment	0	0	0
Proceeds from business dispositions, net of cash sold	0	0	0
Dividends received from equity investments	0		0
Net cash (used in) provided by continuing investing activities	0	0	0
Net cash (used in) provided by discontinued investing activities	0	0	0
Net cash provided by (used in) investing activities	0	0	0
Net proceeds (repayments) in debt	(300.0)	0	0
Debt issuance costs	0	0	0
Net inter-company (payments) proceeds	318.3	699.7	15.1
Dividends paid to ordinary shareholders	0	(685.5)	0
Dividends paid to noncontrolling interests	0	0	0
Proceeds shares issued under incentive plans	0	0	0
Repurchase of ordinary shares	0	0	0
Transfer from Discontinued Operations		0
Other, net			0
Net cash (used in) provided by continuing financing activities	18.3	14.2	15.1
Cash Provided by (Used in) Financing Activities, Discontinued Operations	0	0	0
Net Cash Provided by (Used in) Financing Activities	18.3	14.2	15.1
Effect of exchange rate changes on cash and cash equivalents	0	0	0
Net (decrease) increase in cash and cash equivalents	0	0	0
Cash and cash equivalents - beginning of period	0	0	0
Cash and cash equivalents - end of period	0	0	0
IR Global Holding [Member]
Net cash (used in) provided by continuing operating activities	(128.5)	(196.7)	(570.5)
Net cash (used in) provided by discontinued operating activities	0	0	0
Net cash provided by (used in) operating activities	(128.5)	(196.7)	(570.5)
Capital expenditures	0	0	0
Acquisition of businesses, net of cash acquired	0
Proceeds from sale of property, plant and equipment	0	0	0
Proceeds from business dispositions, net of cash sold	0	0	0
Dividends received from equity investments	0		0
Net cash (used in) provided by continuing investing activities	0	0	0
Net cash (used in) provided by discontinued investing activities	0	0	0
Net cash provided by (used in) investing activities	0	0	0
Net proceeds (repayments) in debt	0	(291.2)	344.5
Debt issuance costs	(2.5)	(13.2)	(2.5)
Net inter-company (payments) proceeds	844.3	2,106.3	737.6
Dividends paid to ordinary shareholders	0	(1,274.2)	0
Dividends paid to noncontrolling interests	0	0	0
Proceeds shares issued under incentive plans	0	0	0
Repurchase of ordinary shares	0	0	0
Transfer from Discontinued Operations		0
Other, net			0
Net cash (used in) provided by continuing financing activities	(846.8)	1,110.1	390.6
Cash Provided by (Used in) Financing Activities, Discontinued Operations	0	0	0
Net Cash Provided by (Used in) Financing Activities	(846.8)	1,110.1	390.6
Effect of exchange rate changes on cash and cash equivalents	0	0	0
Net (decrease) increase in cash and cash equivalents	(975.3)	913.4	(179.9)
Cash and cash equivalents - beginning of period	975.3	61.9	241.8
Cash and cash equivalents - end of period	0	975.3	61.9
IR New Jersey [Member]
Net cash (used in) provided by continuing operating activities	173.4	(170.5)	(103.5)
Net cash (used in) provided by discontinued operating activities	(2.4)	(112.2)	(18.3)
Net cash provided by (used in) operating activities	171.0	(282.7)	(121.8)
Capital expenditures	(87.7)	(80.1)	(74.9)
Acquisition of businesses, net of cash acquired	0
Proceeds from sale of property, plant and equipment	1.3	1.9	3.1
Proceeds from business dispositions, net of cash sold	0	0	0
Dividends received from equity investments	0		0
Net cash (used in) provided by continuing investing activities	(86.4)	(78.2)	(71.8)
Net cash (used in) provided by discontinued investing activities	0	0	0
Net cash provided by (used in) investing activities	(86.4)	(78.2)	(71.8)
Net proceeds (repayments) in debt	7.6	6.7	9.2
Debt issuance costs	0	0	0
Net inter-company (payments) proceeds	1,022.9	368.1	184.1
Dividends paid to ordinary shareholders	(734.1)	0	0
Dividends paid to noncontrolling interests	0	0	0
Proceeds shares issued under incentive plans	0	0	0
Repurchase of ordinary shares	0	0	0
Transfer from Discontinued Operations		0
Other, net			0
Net cash (used in) provided by continuing financing activities	281.2	361.4	174.9
Cash Provided by (Used in) Financing Activities, Discontinued Operations	0	0	0
Net Cash Provided by (Used in) Financing Activities	281.2	361.4	174.9
Effect of exchange rate changes on cash and cash equivalents	0	0	0
Net (decrease) increase in cash and cash equivalents	365.8	0.5	(18.7)
Cash and cash equivalents - beginning of period	59.6	59.1	77.8
Cash and cash equivalents - end of period	425.4	59.6	59.1
IR Lux [Member]
Net cash (used in) provided by continuing operating activities	(7.1)
Net cash (used in) provided by discontinued operating activities	0
Net cash provided by (used in) operating activities	(7.1)
Capital expenditures	0
Acquisition of businesses, net of cash acquired	0
Proceeds from sale of property, plant and equipment	0
Proceeds from business dispositions, net of cash sold	0
Dividends received from equity investments	0
Net cash (used in) provided by continuing investing activities	0
Net cash (used in) provided by discontinued investing activities	0
Net cash provided by (used in) investing activities	0
Net proceeds (repayments) in debt	(1,195.1)
Debt issuance costs	(9.8)
Net inter-company (payments) proceeds	(1,178.2)
Dividends paid to ordinary shareholders	0
Dividends paid to noncontrolling interests	0
Proceeds shares issued under incentive plans	0
Repurchase of ordinary shares	0
Net cash (used in) provided by continuing financing activities	7.1
Cash Provided by (Used in) Financing Activities, Discontinued Operations	0
Net Cash Provided by (Used in) Financing Activities	7.1
Effect of exchange rate changes on cash and cash equivalents	0
Net (decrease) increase in cash and cash equivalents	0
Cash and cash equivalents - beginning of period	0
Cash and cash equivalents - end of period	0
Other Subsidiaries [Member]
Net cash (used in) provided by continuing operating activities	2,058.5	4,483.5	1,911.2
Net cash (used in) provided by discontinued operating activities	(13.9)	404.9	331.2
Net cash provided by (used in) operating activities	2,044.6	4,888.4	2,242.4
Capital expenditures	(145.8)	(162.1)	(168.2)
Acquisition of businesses, net of cash acquired	(10.2)
Proceeds from sale of property, plant and equipment	13.1	22.4	14.8
Proceeds from business dispositions, net of cash sold	2.0	4.7	52.7
Dividends received from equity investments	30.3		44.3
Net cash (used in) provided by continuing investing activities	(110.6)	(135.0)	(56.4)
Net cash (used in) provided by discontinued investing activities	0	(2.2)	(18.3)
Net cash provided by (used in) investing activities	(110.6)	(137.2)	(74.7)
Net proceeds (repayments) in debt	187.3	(7.2)	59.7
Debt issuance costs	0	0	0
Net inter-company (payments) proceeds	(881.4)	(4,423.6)	1,821.7
Dividends paid to ordinary shareholders	(318.2)	(1.2)	(314.0)
Dividends paid to noncontrolling interests	(20.9)	(12.4)	(13.9)
Proceeds shares issued under incentive plans	0	0	0
Repurchase of ordinary shares	0	0	0
Transfer from Discontinued Operations		0
Other, net			1.1
Net cash (used in) provided by continuing financing activities	(1,407.8)	(4,430.0)	(2,210.4)
Cash Provided by (Used in) Financing Activities, Discontinued Operations	0	(12.4)	(13.7)
Net Cash Provided by (Used in) Financing Activities	(1,407.8)	(4,442.4)	(2,224.1)
Effect of exchange rate changes on cash and cash equivalents	(148.7)	6.1	(23.6)
Net (decrease) increase in cash and cash equivalents	377.5	314.9	(80.0)
Cash and cash equivalents - beginning of period	902.3	587.4	667.4
Cash and cash equivalents - end of period	1,279.8	902.3	587.4
Consolidating Adjustments [Member]
Net cash (used in) provided by continuing operating activities	(1,052.3)	(3,240.0)	(319.5)
Net cash (used in) provided by discontinued operating activities	0	0	0
Net cash provided by (used in) operating activities	(1,052.3)	(3,240.0)	(319.5)
Capital expenditures	0	0	0
Acquisition of businesses, net of cash acquired	0
Proceeds from sale of property, plant and equipment	0	0	0
Proceeds from business dispositions, net of cash sold	0	0	0
Dividends received from equity investments	0		0
Net cash (used in) provided by continuing investing activities	0	0	0
Net cash (used in) provided by discontinued investing activities	0	0	0
Net cash provided by (used in) investing activities	0	0	0
Net proceeds (repayments) in debt	0	0	0
Debt issuance costs	0	0	0
Net inter-company (payments) proceeds	0	0	0
Dividends paid to ordinary shareholders	1,052.3	3,235.1	314.0
Dividends paid to noncontrolling interests	0	0	0
Proceeds shares issued under incentive plans	0	0	0
Repurchase of ordinary shares	0	0	0
Transfer from Discontinued Operations		0
Other, net			0
Net cash (used in) provided by continuing financing activities	1,052.3	3,235.1	314.0
Cash Provided by (Used in) Financing Activities, Discontinued Operations	0	4.9	5.5
Net Cash Provided by (Used in) Financing Activities	1,052.3	3,240.0	319.5
Effect of exchange rate changes on cash and cash equivalents	0	0	0
Net (decrease) increase in cash and cash equivalents	0	0	0
Cash and cash equivalents - beginning of period	0	0	0
Cash and cash equivalents - end of period	$ 0	$ 0	$ 0