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Guarantor Financial Information (Condensed Consolidating Statements of Cash Flows) (Details) - USD ($)
$ in Millions
6 Months Ended
Jun. 30, 2015
Jun. 30, 2014
Condensed Financial Statements, Captions [Line Items]    
Net cash provided by (used in) continuing operating activities $ 183.7 $ 187.0
Net cash provided by (used in) discontinued operating activities (13.7) (55.8)
Net cash provided by (used in) operating activities 170.0 131.2
Cash flows from investing activities:    
Capital expenditures (115.3) (92.6)
Acquisition of businesses, net of cash acquired (941.7) (6.8)
Proceeds from sale of property, plant and equipment 5.7 2.9
Proceeds from business dispositions, net of cash sold 0.0 2.0
Proceeds from Equity Method Investment, Dividends or Distributions, Return of Capital 0.0 30.3
Net cash provided by (used in) continuing investing activities (1,051.3) (64.2)
Cash flows from financing activities:    
Net proceeds (repayments) in debt 161.0 39.0
Net inter-company proceeds (payments) 0.0 0.0
Dividends paid to ordinary shareholders (151.3) (132.8)
Dividends paid to noncontrolling interests (5.2) (14.9)
Proceeds from shares issued under incentive plans   0.0
Repurchase of ordinary shares 0.0 (1,012.8)
Other, net 45.3 66.3
Net cash provided by (used in) continuing financing activities 49.8 (1,055.2)
Effect of exchange rate changes on cash and cash equivalents (94.1) (19.2)
Net increase (decrease) in cash and cash equivalents (925.6) (1,007.4)
Cash and cash equivalents - beginning of period 1,705.2 1,937.2
Cash and cash equivalents - end of period 779.6 929.8
IR Ireland [Member]    
Condensed Financial Statements, Captions [Line Items]    
Net cash provided by (used in) continuing operating activities (7.8) (22.6)
Net cash provided by (used in) discontinued operating activities 0.0 0.0
Net cash provided by (used in) operating activities (7.8) (22.6)
Cash flows from investing activities:    
Capital expenditures 0.0 0.0
Acquisition of businesses, net of cash acquired 0.0 0.0
Proceeds from sale of property, plant and equipment 0.0 0.0
Proceeds from business dispositions, net of cash sold   0.0
Net cash provided by (used in) continuing investing activities 0.0 0.0
Cash flows from financing activities:    
Net proceeds (repayments) in debt 0.0 0.0
Net inter-company proceeds (payments) 113.8 1,099.5
Dividends paid to ordinary shareholders (151.3) (132.8)
Dividends paid to noncontrolling interests 0.0 0.0
Proceeds from shares issued under incentive plans   0.0
Repurchase of ordinary shares   (1,012.8)
Other, net 45.3 68.7
Net cash provided by (used in) continuing financing activities 7.8 22.6
Effect of exchange rate changes on cash and cash equivalents 0.0 0.0
Net increase (decrease) in cash and cash equivalents 0.0 0.0
Cash and cash equivalents - beginning of period 0.0 0.0
Cash and cash equivalents - end of period 0.0 0.0
IR Limited [Member]    
Condensed Financial Statements, Captions [Line Items]    
Net cash provided by (used in) continuing operating activities 0.0 0.0
Net cash provided by (used in) discontinued operating activities 0.0 0.0
Net cash provided by (used in) operating activities 0.0 0.0
Cash flows from investing activities:    
Capital expenditures 0.0 0.0
Acquisition of businesses, net of cash acquired 0.0 0.0
Proceeds from sale of property, plant and equipment 0.0 0.0
Proceeds from business dispositions, net of cash sold   0.0
Net cash provided by (used in) continuing investing activities 0.0 0.0
Cash flows from financing activities:    
Net proceeds (repayments) in debt 0.0 0.0
Net inter-company proceeds (payments) 0.0 0.0
Dividends paid to ordinary shareholders 0.0 0.0
Dividends paid to noncontrolling interests 0.0 0.0
Proceeds from shares issued under incentive plans   0.0
Repurchase of ordinary shares   0.0
Other, net 0.0 0.0
Net cash provided by (used in) continuing financing activities 0.0 0.0
Effect of exchange rate changes on cash and cash equivalents 0.0 0.0
Net increase (decrease) in cash and cash equivalents 0.0 0.0
Cash and cash equivalents - beginning of period 0.0 0.0
Cash and cash equivalents - end of period 0.0 0.0
IR International [Member]    
Condensed Financial Statements, Captions [Line Items]    
Net cash provided by (used in) continuing operating activities 0.0 (4.6)
Net cash provided by (used in) discontinued operating activities 0.0 0.0
Net cash provided by (used in) operating activities 0.0 (4.6)
Cash flows from investing activities:    
Capital expenditures 0.0 0.0
Acquisition of businesses, net of cash acquired 0.0 0.0
Proceeds from sale of property, plant and equipment 0.0 0.0
Proceeds from business dispositions, net of cash sold   0.0
Net cash provided by (used in) continuing investing activities 0.0 0.0
Cash flows from financing activities:    
Net proceeds (repayments) in debt 0.0 0.0
Net inter-company proceeds (payments) 0.0 4.6
Dividends paid to ordinary shareholders 0.0 0.0
Dividends paid to noncontrolling interests 0.0 0.0
Proceeds from shares issued under incentive plans   0.0
Repurchase of ordinary shares   0.0
Other, net 0.0 0.0
Net cash provided by (used in) continuing financing activities 0.0 4.6
Effect of exchange rate changes on cash and cash equivalents 0.0 0.0
Net increase (decrease) in cash and cash equivalents 0.0 0.0
Cash and cash equivalents - beginning of period 0.0 0.0
Cash and cash equivalents - end of period 0.0 0.0
IR Global [Member]    
Condensed Financial Statements, Captions [Line Items]    
Net cash provided by (used in) continuing operating activities (63.9) (64.3)
Net cash provided by (used in) discontinued operating activities 0.0 0.0
Net cash provided by (used in) operating activities (63.9) (64.3)
Cash flows from investing activities:    
Capital expenditures 0.0 0.0
Acquisition of businesses, net of cash acquired 0.0 0.0
Proceeds from sale of property, plant and equipment 0.0 0.0
Proceeds from business dispositions, net of cash sold   0.0
Net cash provided by (used in) continuing investing activities 0.0 0.0
Cash flows from financing activities:    
Net proceeds (repayments) in debt 0.0 38.5
Net inter-company proceeds (payments) 63.9 (947.0)
Dividends paid to ordinary shareholders 0.0 0.0
Dividends paid to noncontrolling interests 0.0 0.0
Proceeds from shares issued under incentive plans   0.0
Repurchase of ordinary shares   0.0
Other, net 0.0 (2.4)
Net cash provided by (used in) continuing financing activities 63.9 (910.9)
Effect of exchange rate changes on cash and cash equivalents 0.0 0.0
Net increase (decrease) in cash and cash equivalents 0.0 (975.2)
Cash and cash equivalents - beginning of period 0.0 975.3
Cash and cash equivalents - end of period 0.0 0.1
IR New Jersey [Member]    
Condensed Financial Statements, Captions [Line Items]    
Net cash provided by (used in) continuing operating activities (188.0) 146.1
Net cash provided by (used in) discontinued operating activities (13.5) (64.8)
Net cash provided by (used in) operating activities (201.5) 81.3
Cash flows from investing activities:    
Capital expenditures (58.2) (38.9)
Acquisition of businesses, net of cash acquired (448.1) 0.0
Proceeds from sale of property, plant and equipment 0.0 0.9
Proceeds from business dispositions, net of cash sold   0.0
Net cash provided by (used in) continuing investing activities (506.3) (38.0)
Cash flows from financing activities:    
Net proceeds (repayments) in debt (7.5) (7.5)
Net inter-company proceeds (payments) 295.3 746.0
Dividends paid to ordinary shareholders 0.0 (734.1)
Dividends paid to noncontrolling interests 0.0 0.0
Proceeds from shares issued under incentive plans   0.0
Repurchase of ordinary shares   0.0
Other, net 0.0 0.0
Net cash provided by (used in) continuing financing activities 287.8 4.4
Effect of exchange rate changes on cash and cash equivalents 0.0 0.0
Net increase (decrease) in cash and cash equivalents (420.0) 47.7
Cash and cash equivalents - beginning of period 425.4 59.6
Cash and cash equivalents - end of period 5.4 107.3
IR Lux [Member]    
Condensed Financial Statements, Captions [Line Items]    
Net cash provided by (used in) continuing operating activities (21.2)  
Net cash provided by (used in) discontinued operating activities 0.0  
Net cash provided by (used in) operating activities (21.2)  
Cash flows from investing activities:    
Capital expenditures 0.0  
Acquisition of businesses, net of cash acquired 0.0  
Proceeds from sale of property, plant and equipment 0.0  
Net cash provided by (used in) continuing investing activities 0.0  
Cash flows from financing activities:    
Net proceeds (repayments) in debt 184.7  
Net inter-company proceeds (payments) (163.1)  
Dividends paid to ordinary shareholders 0.0  
Other, net 0.0  
Net cash provided by (used in) continuing financing activities 21.6  
Effect of exchange rate changes on cash and cash equivalents 0.0  
Net increase (decrease) in cash and cash equivalents 0.4  
Cash and cash equivalents - beginning of period 0.0  
Cash and cash equivalents - end of period 0.4  
Other Subsidiaries [Member]    
Condensed Financial Statements, Captions [Line Items]    
Net cash provided by (used in) continuing operating activities 501.8 1,058.5
Net cash provided by (used in) discontinued operating activities (0.2) 9.0
Net cash provided by (used in) operating activities 501.6 1,067.5
Cash flows from investing activities:    
Capital expenditures (57.1) (53.7)
Acquisition of businesses, net of cash acquired (493.6) (6.8)
Proceeds from sale of property, plant and equipment 5.7 2.0
Proceeds from business dispositions, net of cash sold   2.0
Net cash provided by (used in) continuing investing activities (545.0) (26.2)
Cash flows from financing activities:    
Net proceeds (repayments) in debt (16.2) 8.0
Net inter-company proceeds (payments) (309.9) (903.1)
Dividends paid to ordinary shareholders (15.8) (192.0)
Dividends paid to noncontrolling interests (5.2) (14.9)
Proceeds from shares issued under incentive plans   0.0
Repurchase of ordinary shares   0.0
Other, net 0.0 0.0
Net cash provided by (used in) continuing financing activities (347.1) (1,102.0)
Effect of exchange rate changes on cash and cash equivalents (94.1) (19.2)
Net increase (decrease) in cash and cash equivalents (484.6) (79.9)
Cash and cash equivalents - beginning of period 1,279.8 902.3
Cash and cash equivalents - end of period 795.2 822.4
Consolidating Adjustments [Member]    
Condensed Financial Statements, Captions [Line Items]    
Net cash provided by (used in) continuing operating activities (37.2) (926.1)
Net cash provided by (used in) discontinued operating activities 0.0 0.0
Net cash provided by (used in) operating activities (37.2) (926.1)
Cash flows from investing activities:    
Capital expenditures 0.0 0.0
Acquisition of businesses, net of cash acquired 0.0 0.0
Proceeds from sale of property, plant and equipment 0.0 0.0
Proceeds from business dispositions, net of cash sold   0.0
Net cash provided by (used in) continuing investing activities $ 0.0 0.0
Cash flows from financing activities:    
Net proceeds (repayments) in debt   0.0
Net inter-company proceeds (payments)   0.0
Dividends paid to ordinary shareholders $ 15.8 926.1
Dividends paid to noncontrolling interests $ 0.0 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 $ 15.8 926.1
Effect of exchange rate changes on cash and cash equivalents 0.0 0.0
Net increase (decrease) in cash and cash equivalents (21.4) 0.0
Cash and cash equivalents - beginning of period 0.0 0.0
Cash and cash equivalents - end of period $ (21.4) $ 0.0