Guarantor Financial Information (Condensed Consolidating Balance Sheet) (Details) (USD $) In Millions, unless otherwise specified	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012	Dec. 31, 2011
Current assets:
Cash and cash equivalents	$ 1,705.2	$ 1,937.2	$ 708.4	$ 987.0
Accounts and notes receivable, net	2,119.0	2,071.5
Inventories	1,358.9	1,166.1
Other current assets	524.8	541.9
Accounts and notes receivable affiliates	0	0
Total current assets	5,707.9	5,716.7
Investment in affiliates	0	0
Property, plant and equipment, net	1,477.0	1,468.4
Intangible assets, net	9,173.7	9,462.6
Other noncurrent assets	939.9	1,010.4
Total assets	17,298.5	17,658.1
Current liabilities:
Accounts payable and accruals	3,183.4	3,040.9
Short-term borrowings and current maturities of long-term debt	482.7	367.7
Accounts and note payable affiliates	0	0
Total current liabilities	3,666.1	3,408.6
Long-term debt	3,741.7	3,153.5
Note payable affiliate		0
Other noncurrent liabilities	3,845.3	3,964.7
Total liabilities	11,253.1	10,526.8
Equity:
Total equity	6,045.4	7,131.3	7,229.3	7,012.4
Total liabilities and equity	17,298.5	17,658.1
IR Ireland [Member]
Current assets:
Cash and cash equivalents	0	0	0	0
Accounts and notes receivable, net	0	0
Inventories	0	0
Other current assets	0.1	0.1
Accounts and notes receivable affiliates	48.6	1,086.9
Total current assets	48.7	1,087.0
Investment in affiliates	9,738.8	8,697.8
Property, plant and equipment, net	0	0
Intangible assets, net	0	0
Other noncurrent assets	0.2	0
Total assets	9,787.7	9,784.8
Current liabilities:
Accounts payable and accruals	7.9	30.6
Short-term borrowings and current maturities of long-term debt	0	0
Accounts and note payable affiliates	3,792.4	2,685.3
Total current liabilities	3,800.3	2,715.9
Long-term debt	0	0
Note payable affiliate		0
Other noncurrent liabilities	0	0
Total liabilities	3,800.3	2,715.9
Equity:
Total equity	5,987.4	7,068.9
Total liabilities and equity	9,787.7	9,784.8
IR Limited [Member]
Current assets:
Cash and cash equivalents	0	0	0	0
Accounts and notes receivable, net	0	0
Inventories	0	0
Other current assets	0	0
Accounts and notes receivable affiliates	309.5	309.6
Total current assets	309.5	309.6
Investment in affiliates	12,913.2	13,696.0
Property, plant and equipment, net	0	0
Intangible assets, net	0	0
Other noncurrent assets	0	(4.3)
Total assets	13,222.7	14,001.3
Current liabilities:
Accounts payable and accruals	0	0
Short-term borrowings and current maturities of long-term debt	0	0
Accounts and note payable affiliates	749.2	3,780.6
Total current liabilities	749.2	3,780.6
Long-term debt	0	0
Note payable affiliate		0
Other noncurrent liabilities	0	0
Total liabilities	749.2	3,780.6
Equity:
Total equity	12,473.5	10,220.7
Total liabilities and equity	13,222.7	14,001.3
IR International [Member]
Current assets:
Cash and cash equivalents	0	0	0	0
Accounts and notes receivable, net	0	0
Inventories	0	0
Other current assets	0	0
Accounts and notes receivable affiliates	8,227.0	2.3
Total current assets	8,227.0	2.3
Investment in affiliates	4,011.0	11,339.0
Property, plant and equipment, net	0	0
Intangible assets, net	0	0
Other noncurrent assets	0	0.3
Total assets	12,238.0	11,341.6
Current liabilities:
Accounts payable and accruals	0	12.1
Short-term borrowings and current maturities of long-term debt	0	0
Accounts and note payable affiliates	966.4	4,803.3
Total current liabilities	966.4	4,815.4
Long-term debt	0	299.8
Note payable affiliate		0
Other noncurrent liabilities	3.8	3.8
Total liabilities	970.2	5,119.0
Equity:
Total equity	11,267.8	6,222.6
Total liabilities and equity	12,238.0	11,341.6
IR Global Holding [Member]
Current assets:
Cash and cash equivalents	0	975.3	61.9	241.8
Accounts and notes receivable, net	0	0
Inventories	0	0
Other current assets	31.0	0.2
Accounts and notes receivable affiliates	306.0	1,496.6
Total current assets	337.0	2,472.1
Investment in affiliates	9,333.0	7,144.5
Property, plant and equipment, net	0	0
Intangible assets, net	0	0
Other noncurrent assets	176.7	18.8
Total assets	9,846.7	9,635.4
Current liabilities:
Accounts payable and accruals	26.6	27.5
Short-term borrowings and current maturities of long-term debt	0	0
Accounts and note payable affiliates	441.3	5,982.2
Total current liabilities	467.9	6,009.7
Long-term debt	2,296.1	2,295.7
Note payable affiliate		0
Other noncurrent liabilities	2.7	0
Total liabilities	2,766.7	8,305.4
Equity:
Total equity	7,080.0	1,330.0
Total liabilities and equity	9,846.7	9,635.4
IR New Jersey [Member]
Current assets:
Cash and cash equivalents	425.4	59.6	59.1	77.8
Accounts and notes receivable, net	147.0	149.4
Inventories	106.1	70.5
Other current assets	126.9	127.6
Accounts and notes receivable affiliates	4,788.2	11,683.7
Total current assets	5,593.6	12,090.8
Investment in affiliates	15,028.4	15,923.4
Property, plant and equipment, net	324.7	293.3
Intangible assets, net	66.6	85.7
Other noncurrent assets	731.7	298.2
Total assets	21,745.0	28,691.4
Current liabilities:
Accounts payable and accruals	495.8	440.8
Short-term borrowings and current maturities of long-term debt	350.5	350.5
Accounts and note payable affiliates	14,779.8	16,217.4
Total current liabilities	15,626.1	17,008.7
Long-term debt	349.6	357.2
Note payable affiliate		0
Other noncurrent liabilities	1,471.6	877.3
Total liabilities	17,447.3	18,243.2
Equity:
Total equity	4,297.7	10,448.2
Total liabilities and equity	21,745.0	28,691.4
IR Lux [Member]
Current assets:
Cash and cash equivalents	0	0
Accounts and notes receivable, net	0
Inventories	0
Other current assets	0
Accounts and notes receivable affiliates	50.7
Total current assets	50.7
Investment in affiliates	1,699.9
Property, plant and equipment, net	0
Intangible assets, net	0
Other noncurrent assets	9.6
Total assets	1,760.2
Current liabilities:
Accounts payable and accruals	8.1
Short-term borrowings and current maturities of long-term debt	100.0
Accounts and note payable affiliates	514.1
Total current liabilities	622.2
Long-term debt	1,095.1
Other noncurrent liabilities	0
Total liabilities	1,717.3
Equity:
Total equity	42.9
Total liabilities and equity	1,760.2
Other Subsidiaries [Member]
Current assets:
Cash and cash equivalents	1,279.8	902.3	587.4	667.4
Accounts and notes receivable, net	1,972.0	1,922.1
Inventories	1,252.8	1,095.6
Other current assets	366.8	414.0
Accounts and notes receivable affiliates	21,832.6	27,616.6
Total current assets	26,704.0	31,950.6
Investment in affiliates	8,645.5	42,714.1
Property, plant and equipment, net	1,152.3	1,175.1
Intangible assets, net	9,107.1	9,376.9
Other noncurrent assets	595.4	697.4
Total assets	46,204.3	85,914.1
Current liabilities:
Accounts payable and accruals	2,645.0	2,529.9
Short-term borrowings and current maturities of long-term debt	32.2	17.2
Accounts and note payable affiliates	14,319.5	8,809.0
Total current liabilities	16,996.7	11,356.1
Long-term debt	0.9	200.8
Note payable affiliate		0
Other noncurrent liabilities	2,940.9	3,083.6
Total liabilities	19,938.5	14,640.5
Equity:
Total equity	26,265.8	71,273.6
Total liabilities and equity	46,204.3	85,914.1
Consolidating Adjustments [Member]
Current assets:
Cash and cash equivalents	0	0	0	0
Accounts and notes receivable, net	0	0
Inventories	0	0
Other current assets	0	0
Accounts and notes receivable affiliates	(35,562.6)	(42,195.7)
Total current assets	(35,562.6)	(42,195.7)
Investment in affiliates	(61,369.8)	(99,514.8)
Property, plant and equipment, net	0	0
Intangible assets, net	0	0
Other noncurrent assets	(573.7)	0
Total assets	(97,506.1)	(141,710.5)
Current liabilities:
Accounts payable and accruals	0	0
Short-term borrowings and current maturities of long-term debt	0	0
Accounts and note payable affiliates	(35,562.7)	(42,277.8)
Total current liabilities	(35,562.7)	(42,277.8)
Long-term debt	0	0
Note payable affiliate		0
Other noncurrent liabilities	(573.7)	0
Total liabilities	(36,136.4)	(42,277.8)
Equity:
Total equity	(61,369.7)	(99,432.7)
Total liabilities and equity	$ (97,506.1)	$ (141,710.5)