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Condensed Consolidated Statements of Cash Flows (Unaudited) - USD ($)
$ in Millions
6 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Statement of Cash Flows [Abstract]    
Payments Related to Tax Withholding for Share-based Compensation $ (4.0) $ (4.4)
Treasury Stock, Value, Acquired, Cost Method 75.0  
Operating Activities    
Net income 91.7 116.8
Adjustments to reconcile net income to net cash provided by operating activities:    
Depreciation and Amortization of PP&E and Software 36.4 45.1
Acquisition-related intangible asset amortization 53.0 53.7
Amortization of Debt Issuance Costs and Discounts 3.2 3.7
Benefit for deferred income taxes (8.2) (89.2)
(Gain) loss on disposal of property, equipment leased to others, intangible assets, and impairments (0.2) (0.6)
Loss on disposition of businesses 0.0 22.4
Stock compensation 16.9 15.8
Change in working capital excluding cash, current debt, acquisitions and dispositions:    
Trade accounts receivable 24.0 45.7
Inventories (1.5) (29.0)
Other current assets 3.7 (37.9)
Trade accounts payable (6.6) (8.7)
Accrued expenses and other liabilities (53.9) (35.8)
Other, net (0.3) 23.6
Net cash provided by operating activities 158.2 125.6
Investing Activities    
Purchases of property, plant, equipment and software (31.4) (51.4)
Proceeds on sale of property and equipment leased to others 3.1 3.7
Payments to Acquire Intangible Assets 17.1 0.0
Payments to Acquire Other Investments (26.6) 0.0
Proceeds on sale of business 0.0 1.0
Other, net 0.2 (1.0)
Net cash used in investing activities (71.8) (47.7)
Financing Activities    
Payments of long-term debt (0.1) (54.9)
Borrowings on Revolving Credit Facility 110.0 75.0
Payments on Revolving Credit Facility (105.0) (95.0)
Borrowings on Securitization Program 4.9 51.4
Payments on Securitization Program (4.9) (37.3)
Principal Amount Outstanding on Loans Securitized or Asset-backed Financing Arrangement 37.5 0.0
Payments on Note Securitization Facility 28.4 0.0
Payments of cash dividends (27.4) (25.1)
Proceeds on exercise of stock options 8.6 10.5
Stock repurchases for stock award withholding obligations   0.0
Proceeds from (Payments for) Other Financing Activities 3.7 4.0
Net cash used in financing activities (80.1) (75.8)
Effect of exchange rate changes on cash and cash equivalents (2.3) 5.1
Net Cash Flows 4.0 7.2
Cash and Cash Equivalents:    
At beginning of period 183.0 $ 231.8
At end of period $ 187.0