Condensed Consolidated Statements of Cash Flows (Unaudited) - USD ($)	9 Months Ended
	Jun. 30, 2020	Jun. 30, 2019
Operating Activities
Net Income (Loss) Attributable to Parent	$ 180,600,000	$ 124,300,000
Adjustments to reconcile net income to net cash, cash equivalents and restricted cash provided by operating activities:
Depreciation and Amortization of PP&E and Software	51,600,000	54,700,000
Acquisition-related intangible asset amortization	81,300,000	82,300,000
Amortization of Debt Issuance Costs and Discounts	3,000,000.0	4,800,000
Gain (Loss) on Extinguishment of Debt	15,600,000	0
Benefit for deferred income taxes	(14,100,000)	(12,200,000)
Loss on disposal of property, equipment, intangible assets, and impairments	1,500,000	3,300,000
Stock compensation	27,200,000	26,900,000
Other Operating Activities, Cash Flow Statement	16,000,000.0	(2,900,000)
Change in working capital excluding cash, current debt, acquisitions and dispositions:
Trade accounts receivable	12,300,000	15,300,000
Inventories	(60,200,000)	(4,900,000)
Other current assets	(10,400,000)	(3,500,000)
Trade accounts payable	16,500,000	(9,000,000.0)
Accrued expenses and other liabilities	(8,100,000)	14,300,000
Increase (Decrease) in Accounts Receivable	(12,300,000)	(15,300,000)
Increase (Decrease) in Inventories	60,200,000	4,900,000
Increase (Decrease) in Other Operating Assets	10,400,000	3,500,000
Increase (Decrease) in Accounts Payable, Trade	16,500,000	(9,000,000.0)
Accrued expenses and other liabilities	(8,100,000)	14,300,000
Increase (Decrease) in Other Noncurrent Assets and Liabilities, Net	(2,000,000.0)	(7,700,000)
Net cash, cash equivalents and restricted cash provided by operating activities	314,800,000	301,100,000
Investing Activities
Purchases of property, plant, equipment and software	(72,000,000.0)	50,900,000
Proceeds on sale of property and equipment	1,600,000	2,500,000
Payments to Acquire Businesses, Gross	(20,600,000)	(175,800,000)
Payments to Acquire Intangible Assets	0	(17,100,000)
Payments to Acquire Investments	0	(26,600,000)
Other investing activities	600,000	0
Financing Activities
Payment of long-term debt	37,600,000	(100,000)
Borrowings on Revolving Credit Facility	190,000,000.0	(330,000,000.0)
Payments on Revolving Credit Facility	155,000,000.0	(230,000,000.0)
Borrowings on Securitization Facility	17,700,000	4,900,000
Payments on Securitization Facility	(17,700,000)	5,500,000
Principal Amount Outstanding on Loans Securitized or Asset-backed Financing Arrangement	32,600,000	46,000,000.0
Payments on Note Securitization Facility	(21,200,000)	51,300,000
Payment for Debt Extinguishment or Debt Prepayment Cost	(12,200,000)	0
Repayments of Senior Debt	(425,000,000.0)	0
Cash dividends	(43,300,000)	(41,400,000)
Proceeds on exercise of stock options	8,500,000	9,200,000
Payment, Tax Withholding, Share-based Payment Arrangement	(16,400,000)	(4,200,000)
Payments for Repurchase of Common Stock	(54,100,000)	75,000,000.0
Proceeds from (Payments for) Other Financing Activities	6,000,000.0	5,500,000
Net cash, cash equivalents and restricted cash used in financing activities	(527,700,000)	(11,900,000)
Effect of exchange rate changes on cash, cash equivalents and restricted cash	1,300,000	(1,700,000)
Net Cash Flows	(302,000,000.0)	19,600,000
Cash, Cash Equivalents and Restricted Cash:
Cash and cash equivalents	331,800,000	202,600,000
At beginning of period	214,100,000	183,000,000.0
At end of period	331,800,000	202,600,000
Capital Expenditures Incurred but Not yet Paid	1,800,000	2,300,000
Restricted Stock or Unit Expense	29,600,000	10,400,000
Equity Method Investment, Realized Gain (Loss) on Disposal	2,100,000
Net Income (Loss) Attributable to Parent	180,600,000	124,300,000
Net Cash Provided by (Used in) Investing Activities	(90,400,000)	(267,900,000)
Treasury Stock [Member]
Financing Activities
Payment, Tax Withholding, Share-based Payment Arrangement	$ 16,400,000	$ (4,200,000)