Guarantor Financial Information (Condensed Consolidating Balance Sheets) (Details) - USD ($) $ in Millions	Jun. 30, 2015	Dec. 31, 2014	Jun. 30, 2014	Dec. 31, 2013
Current assets:
Cash and cash equivalents	$ 779.6	$ 1,705.2	$ 929.8	$ 1,937.2
Accounts and notes receivable, net	2,463.1	2,119.0
Inventories	1,634.5	1,358.9
Other current assets	651.4	524.8
Accounts and notes receivable affiliates	0.0	0.0
Total current assets	5,528.6	5,707.9
Investment in affiliates	0.0	0.0
Property, plant and equipment, net	1,586.0	1,477.0
Intangible assets, net	9,781.1	9,173.7
Other noncurrent assets	991.1	939.9
Total assets	17,886.8	17,298.5
Current liabilities:
Accounts payable and accruals	3,798.0	3,183.4
Short-term borrowings and current maturities of long-term debt	659.7	482.7
Accounts and note payable affiliates	0.0	0.0
Total current liabilities	4,457.7	3,666.1
Long-term debt	3,734.6	3,741.7
Other noncurrent liabilities	3,807.0	3,845.3
Total liabilities	11,999.3	11,253.1
Equity:
Total equity	5,887.5	6,045.4	6,440.1	7,131.3
Total liabilities and equity	17,886.8	17,298.5
IR Ireland [Member]
Current assets:
Cash and cash equivalents	0.0	0.0	0.0	0.0
Accounts and notes receivable, net	0.0	0.0
Inventories	0.0	0.0
Other current assets	1.1	0.1
Accounts and notes receivable affiliates	129.6	48.6
Total current assets	130.7	48.7
Investment in affiliates	9,731.3	9,738.8
Property, plant and equipment, net	0.0	0.0
Intangible assets, net	0.0	0.0
Other noncurrent assets	0.2	0.2
Total assets	9,862.2	9,787.7
Current liabilities:
Accounts payable and accruals	6.7	7.9
Short-term borrowings and current maturities of long-term debt	0.0	0.0
Accounts and note payable affiliates	4,027.9	3,792.4
Total current liabilities	4,034.6	3,800.3
Long-term debt	0.0	0.0
Other noncurrent liabilities	0.0	0.0
Total liabilities	4,034.6	3,800.3
Equity:
Total equity	5,827.6	5,987.4
Total liabilities and equity	9,862.2	9,787.7
IR Global [Member]
Current assets:
Cash and cash equivalents	0.0	0.0	0.1	975.3
Accounts and notes receivable, net	0.0	0.0
Inventories	0.0	0.0
Other current assets	32.3	31.0
Accounts and notes receivable affiliates	231.6	306.0
Total current assets	263.9	337.0
Investment in affiliates	9,290.4	9,333.0
Property, plant and equipment, net	0.0	0.0
Intangible assets, net	0.0	0.0
Other noncurrent assets	203.3	176.7
Total assets	9,757.6	9,846.7
Current liabilities:
Accounts payable and accruals	43.1	26.6
Short-term borrowings and current maturities of long-term debt	0.0	0.0
Accounts and note payable affiliates	442.0	441.3
Total current liabilities	485.1	467.9
Long-term debt	2,296.2	2,296.1
Other noncurrent liabilities	3.3	2.7
Total liabilities	2,784.6	2,766.7
Equity:
Total equity	6,973.0	7,080.0
Total liabilities and equity	9,757.6	9,846.7
IR Limited [Member]
Current assets:
Cash and cash equivalents	0.0	0.0	0.0	0.0
Accounts and notes receivable, net	0.0	0.0
Inventories	0.0	0.0
Other current assets	0.0	0.0
Accounts and notes receivable affiliates	309.5	309.5
Total current assets	309.5	309.5
Investment in affiliates	12,843.3	12,913.2
Property, plant and equipment, net	0.0	0.0
Intangible assets, net	0.0	0.0
Other noncurrent assets	0.0	0.0
Total assets	13,152.8	13,222.7
Current liabilities:
Accounts payable and accruals	0.0	0.0
Short-term borrowings and current maturities of long-term debt	0.0	0.0
Accounts and note payable affiliates	751.1	749.2
Total current liabilities	751.1	749.2
Long-term debt	0.0	0.0
Other noncurrent liabilities	0.0	0.0
Total liabilities	751.1	749.2
Equity:
Total equity	12,401.7	12,473.5
Total liabilities and equity	13,152.8	13,222.7
IR International [Member]
Current assets:
Cash and cash equivalents	0.0	0.0	0.0	0.0
Accounts and notes receivable, net	0.0	0.0
Inventories	0.0	0.0
Other current assets	0.0	0.0
Accounts and notes receivable affiliates	7,258.1	8,227.0
Total current assets	7,258.1	8,227.0
Investment in affiliates	4,160.5	4,011.0
Property, plant and equipment, net	0.0	0.0
Intangible assets, net	0.0	0.0
Other noncurrent assets	0.0	0.0
Total assets	11,418.6	12,238.0
Current liabilities:
Accounts payable and accruals	0.0	0.0
Short-term borrowings and current maturities of long-term debt	0.0	0.0
Accounts and note payable affiliates	0.2	966.4
Total current liabilities	0.2	966.4
Long-term debt	0.0	0.0
Other noncurrent liabilities	3.8	3.8
Total liabilities	4.0	970.2
Equity:
Total equity	11,414.6	11,267.8
Total liabilities and equity	11,418.6	12,238.0
IR New Jersey [Member]
Current assets:
Cash and cash equivalents	5.4	425.4	107.3	59.6
Accounts and notes receivable, net	178.2	147.0
Inventories	213.4	106.1
Other current assets	234.8	126.9
Accounts and notes receivable affiliates	729.8	4,788.2
Total current assets	1,361.6	5,593.6
Investment in affiliates	15,221.7	15,028.4
Property, plant and equipment, net	451.1	324.7
Intangible assets, net	416.2	66.6
Other noncurrent assets	784.3	731.7
Total assets	18,234.9	21,745.0
Current liabilities:
Accounts payable and accruals	967.3	495.8
Short-term borrowings and current maturities of long-term debt	350.5	350.5
Accounts and note payable affiliates	10,835.4	14,779.8
Total current liabilities	12,153.2	15,626.1
Long-term debt	342.1	349.6
Other noncurrent liabilities	1,416.3	1,471.6
Total liabilities	13,911.6	17,447.3
Equity:
Total equity	4,323.3	4,297.7
Total liabilities and equity	18,234.9	21,745.0
IR Lux [Member]
Current assets:
Cash and cash equivalents	0.4	0.0
Accounts and notes receivable, net	0.0	0.0
Inventories	0.0	0.0
Other current assets	0.0	0.0
Accounts and notes receivable affiliates	158.4	50.7
Total current assets	158.8	50.7
Investment in affiliates	1,927.9	1,699.9
Property, plant and equipment, net	0.0	0.0
Intangible assets, net	0.0	0.0
Other noncurrent assets	9.3	9.6
Total assets	2,096.0	1,760.2
Current liabilities:
Accounts payable and accruals	6.0	8.1
Short-term borrowings and current maturities of long-term debt	293.0	100.0
Accounts and note payable affiliates	573.2	514.1
Total current liabilities	872.2	622.2
Long-term debt	1,095.5	1,095.1
Other noncurrent liabilities	0.0	0.0
Total liabilities	1,967.7	1,717.3
Equity:
Total equity	128.3	42.9
Total liabilities and equity	2,096.0	1,760.2
Other Subsidiaries [Member]
Current assets:
Cash and cash equivalents	795.2	1,279.8	822.4	902.3
Accounts and notes receivable, net	2,284.9	1,972.0
Inventories	1,421.1	1,252.8
Other current assets	383.2	366.8
Accounts and notes receivable affiliates	17,081.9	21,832.6
Total current assets	21,966.3	26,704.0
Investment in affiliates	7,400.9	8,645.5
Property, plant and equipment, net	1,134.9	1,152.3
Intangible assets, net	9,364.9	9,107.1
Other noncurrent assets	648.4	595.4
Total assets	40,515.4	46,204.3
Current liabilities:
Accounts payable and accruals	2,796.3	2,645.0
Short-term borrowings and current maturities of long-term debt	16.2	32.2
Accounts and note payable affiliates	9,268.4	14,319.5
Total current liabilities	12,080.9	16,996.7
Long-term debt	0.8	0.9
Other noncurrent liabilities	3,038.0	2,940.9
Total liabilities	15,119.7	19,938.5
Equity:
Total equity	25,395.7	26,265.8
Total liabilities and equity	40,515.4	46,204.3
Consolidating Adjustments [Member]
Current assets:
Cash and cash equivalents	(21.4)	0.0	$ 0.0	$ 0.0
Accounts and notes receivable, net	0.0	0.0
Inventories	0.0	0.0
Other current assets	0.0	0.0
Accounts and notes receivable affiliates	(25,898.9)	(35,562.6)
Total current assets	(25,920.3)	(35,562.6)
Investment in affiliates	(60,576.0)	(61,369.8)
Property, plant and equipment, net	0.0	0.0
Intangible assets, net	0.0	0.0
Other noncurrent assets	(654.4)	(573.7)
Total assets	(87,150.7)	(97,506.1)
Current liabilities:
Accounts payable and accruals	(21.4)	0.0
Short-term borrowings and current maturities of long-term debt	0.0	0.0
Accounts and note payable affiliates	(25,898.2)	(35,562.7)
Total current liabilities	(25,919.6)	(35,562.7)
Long-term debt	0.0	0.0
Other noncurrent liabilities	(654.4)	(573.7)
Total liabilities	(26,574.0)	(36,136.4)
Equity:
Total equity	(60,576.7)	(61,369.7)
Total liabilities and equity	$ (87,150.7)	$ (97,506.1)