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Condensed Consolidated Statements of Cash Flows (Unaudited) - USD ($)
$ in Millions
 9 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Operating activities:    
Net income $ 210.4 $ 136.5
Adjustment to reconcile net income to cash provided by operating activities:    
Depreciation and amortization 267.3 274.9
Amortization of deferred financing costs and original issue discount 6.7 5.8
Debt extinguishment and refinancing related costs 0.2 8.4
Deferred income taxes (5.6) (1.8)
Realized and unrealized foreign exchange losses, net 1.5 16.2
Stock-based compensation 9.5 27.5
Loss on divestiture 3.4 0.0
Interest income on swaps designated as net investment hedges (11.0) (5.9)
Other non-cash, net (3.5) (3.9)
Changes in operating assets and liabilities:    
Trade accounts and notes receivable (128.9) (119.5)
Inventories (4.0) (51.8)
Prepaid expenses and other assets (95.0) (127.9)
Accounts payable 29.9 45.4
Other accrued liabilities 0.0 (33.6)
Other liabilities 8.9 75.2
Cash provided by operating activities 289.8 245.5
Investing activities:    
Acquisitions, net of cash acquired (2.1) (79.2)
Purchase of property, plant and equipment (73.9) (109.5)
Proceeds from sale of consolidated joint venture, net of cash divested 8.2 0.0
Interest proceeds on swaps designated as net investment hedges 11.0 5.9
Other investing activities, net (2.2) 5.2
Cash used for investing activities (59.0) (177.6)
Financing activities:    
Proceeds from long-term borrowings 0.0 468.9
Payments on short-term borrowings (29.5) (33.8)
Payments on long-term borrowings (20.0) (505.1)
Financing-related costs (1.5) (4.9)
Purchases of common stock (105.3) (147.8)
Proceeds from option exercises 46.0 17.2
Dividends paid to noncontrolling interests (1.5) (1.0)
Investments in noncontrolling interests (31.1) (26.9)
Deferred acquisition-related consideration (2.1) (6.0)
Cash used for financing activities (145.0) (239.4)
Increase (decrease) in cash 85.8 (171.5)
Effect of exchange rate changes on cash (12.1) (10.5)
Cash at beginning of period 696.4 772.9
Cash at end of period 770.1 590.9
Cash at end of period reconciliation:    
Cash and cash equivalents 767.2 588.1
Restricted cash $ 2.9 $ 2.8