Guarantor Financial Information (Condensed Consolidating Statements of Cash Flows) (Details) (USD $) In Millions, unless otherwise specified	9 Months Ended
	Sep. 30, 2013	Sep. 30, 2012
Payments to Noncontrolling Interests	$ 0	$ 0.4
Net cash provided by (used in) continuing operating activities	955.2	822.9
Net cash provided by (used in) discontinued operating activities	(4.1)	(87.4)
Net cash provided by (used in) operating activities	951.1	735.5
Capital expenditures	(187.6)	(170.9)
Proceeds from sale of property, plant and equipment	32.4	12.8
Proceeds from business dispositions, net of cash sold	4.7	0
Net cash provided by (used in) continuing investing activities	(150.5)	(158.1)
Net cash provided by (used in) discontinued investing activities	0	36.0
Net cash provided by (used in) investing activities	(150.5)	(122.1)
Net proceeds (repayments) in debt	294.9	(351.5)
Debt issuance costs	(13.2)	(2.5)
Net inter-company proceeds (payments)	0	0
Dividends paid	(201.1)	(161.3)
Proceeds from shares issued under incentive plans	192.4	57.7
Repurchase of ordinary shares	795.2	374.9
Other, net	(0.1)	(4.5)
Net cash provided by (used in) continuing financing activities	(522.3)	(837.4)
Effect of exchange rate changes on cash and cash equivalents	(76.5)	(7.1)
Net increase (decrease) in cash and cash equivalents	201.8	(231.1)
Cash and cash equivalents - beginning of period	882.1	1,160.7
Cash and cash equivalents - end of period	1,083.9	929.6
IR Ireland [Member]
Payments to Noncontrolling Interests	0	0.4
Net cash provided by (used in) continuing operating activities	(17.7)	(12.2)
Net cash provided by (used in) discontinued operating activities	0	0
Net cash provided by (used in) operating activities	(17.7)	(12.2)
Capital expenditures	0	0
Proceeds from sale of property, plant and equipment	0	0
Proceeds from business dispositions, net of cash sold	0
Net cash provided by (used in) continuing investing activities	0	0
Net cash provided by (used in) discontinued investing activities	0	0
Net cash provided by (used in) investing activities	0	0
Net proceeds (repayments) in debt	0	0
Debt issuance costs	0	0
Net inter-company proceeds (payments)	803.5	479.4
Dividends paid	(183.0)	(145.1)
Proceeds from shares issued under incentive plans	192.4	57.7
Repurchase of ordinary shares	795.2	374.9
Other, net	0	(4.5)
Net cash provided by (used in) continuing financing activities	17.7	12.2
Effect of exchange rate changes on cash and cash equivalents	0	0
Net increase (decrease) in cash and cash equivalents	0	0
Cash and cash equivalents - beginning of period	0	0
Cash and cash equivalents - end of period	0	0
IR Limited [Member]
Payments to Noncontrolling Interests	0	0
Net cash provided by (used in) continuing operating activities	0	(0.4)
Net cash provided by (used in) discontinued operating activities	0	0
Net cash provided by (used in) operating activities	0	(0.4)
Capital expenditures	0	0
Proceeds from sale of property, plant and equipment	0	0
Proceeds from business dispositions, net of cash sold	0
Net cash provided by (used in) continuing investing activities	0	0
Net cash provided by (used in) discontinued investing activities	0	0
Net cash provided by (used in) investing activities	0	0
Net proceeds (repayments) in debt	0	0
Debt issuance costs	0	0
Net inter-company proceeds (payments)	0	0.4
Dividends paid	0	0
Proceeds from shares issued under incentive plans	0	0
Repurchase of ordinary shares	0	0
Other, net	0	0
Net cash provided by (used in) continuing financing activities	0	0.4
Effect of exchange rate changes on cash and cash equivalents	0	0
Net increase (decrease) in cash and cash equivalents	0	0
Cash and cash equivalents - beginning of period	0	0
Cash and cash equivalents - end of period	0	0
IR International [Member]
Payments to Noncontrolling Interests	0	0
Net cash provided by (used in) continuing operating activities	(10.1)	(11.3)
Net cash provided by (used in) discontinued operating activities	0	0
Net cash provided by (used in) operating activities	(10.1)	(11.3)
Capital expenditures	0	0
Proceeds from sale of property, plant and equipment	0	0
Proceeds from business dispositions, net of cash sold	0
Net cash provided by (used in) continuing investing activities	0	0
Net cash provided by (used in) discontinued investing activities	0	0
Net cash provided by (used in) investing activities	0	0
Net proceeds (repayments) in debt	0	0
Debt issuance costs	0	0
Net inter-company proceeds (payments)	10.1	11.3
Dividends paid	0	0
Proceeds from shares issued under incentive plans	0	0
Repurchase of ordinary shares	0	0
Other, net	0	0
Net cash provided by (used in) continuing financing activities	10.1	11.3
Effect of exchange rate changes on cash and cash equivalents	0	0
Net increase (decrease) in cash and cash equivalents	0	0
Cash and cash equivalents - beginning of period	0	0
Cash and cash equivalents - end of period	0	0
IR Global [Member]
Payments to Noncontrolling Interests	0	0
Net cash provided by (used in) continuing operating activities	(164.2)	(216.8)
Net cash provided by (used in) discontinued operating activities	0	0
Net cash provided by (used in) operating activities	(164.2)	(216.8)
Capital expenditures	0	0
Proceeds from sale of property, plant and equipment	0	0
Proceeds from business dispositions, net of cash sold	0
Net cash provided by (used in) continuing investing activities	0	0
Net cash provided by (used in) discontinued investing activities	0	0
Net cash provided by (used in) investing activities	0	0
Net proceeds (repayments) in debt	291.2	(280.5)
Debt issuance costs	(13.2)	(2.5)
Net inter-company proceeds (payments)	(174.9)	258.0
Dividends paid	0	0
Proceeds from shares issued under incentive plans	0	0
Repurchase of ordinary shares	0	0
Other, net	0	0
Net cash provided by (used in) continuing financing activities	103.1	(25.0)
Effect of exchange rate changes on cash and cash equivalents	0	0
Net increase (decrease) in cash and cash equivalents	(61.1)	(241.8)
Cash and cash equivalents - beginning of period	61.9	241.8
Cash and cash equivalents - end of period	0.8	0
IR New Jersey [Member]
Payments to Noncontrolling Interests	0	0
Net cash provided by (used in) continuing operating activities	(76.5)	(108.8)
Net cash provided by (used in) discontinued operating activities	(23.2)	(0.6)
Net cash provided by (used in) operating activities	(99.7)	(109.4)
Capital expenditures	(50.1)	(49.3)
Proceeds from sale of property, plant and equipment	0.5	0
Proceeds from business dispositions, net of cash sold	0
Net cash provided by (used in) continuing investing activities	(49.6)	(49.3)
Net cash provided by (used in) discontinued investing activities	0	0
Net cash provided by (used in) investing activities	(49.6)	(49.3)
Net proceeds (repayments) in debt	(7.5)	(8.6)
Debt issuance costs	0	0
Net inter-company proceeds (payments)	196.8	108.9
Dividends paid	0	0
Proceeds from shares issued under incentive plans	0	0
Repurchase of ordinary shares	0	0
Other, net	0	0
Net cash provided by (used in) continuing financing activities	189.3	100.3
Effect of exchange rate changes on cash and cash equivalents	0	0
Net increase (decrease) in cash and cash equivalents	40.0	(58.4)
Cash and cash equivalents - beginning of period	59.1	77.8
Cash and cash equivalents - end of period	99.1	19.4
Other Subsidiaries [Member]
Payments to Noncontrolling Interests	0	0
Net cash provided by (used in) continuing operating activities	1,228.8	1,488.9
Net cash provided by (used in) discontinued operating activities	19.1	(86.8)
Net cash provided by (used in) operating activities	1,247.9	1,402.1
Capital expenditures	(137.5)	(121.6)
Proceeds from sale of property, plant and equipment	31.9	12.8
Proceeds from business dispositions, net of cash sold	4.7
Net cash provided by (used in) continuing investing activities	(100.9)	(108.8)
Net cash provided by (used in) discontinued investing activities	0	36.0
Net cash provided by (used in) investing activities	(100.9)	(72.8)
Net proceeds (repayments) in debt	11.2	(62.4)
Debt issuance costs	0	0
Net inter-company proceeds (payments)	(835.5)	(858.0)
Dividends paid	(23.2)	(332.7)
Proceeds from shares issued under incentive plans	0	0
Repurchase of ordinary shares	0	0
Other, net	(0.1)	0
Net cash provided by (used in) continuing financing activities	(847.6)	(1,253.1)
Effect of exchange rate changes on cash and cash equivalents	(76.5)	(7.1)
Net increase (decrease) in cash and cash equivalents	222.9	69.1
Cash and cash equivalents - beginning of period	761.1	841.1
Cash and cash equivalents - end of period	984.0	910.2
Consolidating Adjustments [Member]
Payments to Noncontrolling Interests	0	0
Net cash provided by (used in) continuing operating activities	(5.1)	(316.5)
Net cash provided by (used in) discontinued operating activities	0	0
Net cash provided by (used in) operating activities	(5.1)	(316.5)
Capital expenditures	0	0
Proceeds from sale of property, plant and equipment	0	0
Proceeds from business dispositions, net of cash sold	0
Net cash provided by (used in) continuing investing activities	0	0
Net cash provided by (used in) discontinued investing activities	0	0
Net cash provided by (used in) investing activities	0	0
Net proceeds (repayments) in debt	0	0
Debt issuance costs	0	0
Net inter-company proceeds (payments)	0	0
Dividends paid	5.1	316.5
Proceeds from shares issued under incentive plans	0	0
Repurchase of ordinary shares	0	0
Other, net	0	0
Net cash provided by (used in) continuing financing activities	5.1	316.5
Effect of exchange rate changes on cash and cash equivalents	0	0
Net increase (decrease) in cash and cash equivalents	0	0
Cash and cash equivalents - beginning of period	0	0
Cash and cash equivalents - end of period	$ 0	$ 0