Summary of Significant Accounting Policies (Details) - USD ($)	3 Months Ended
	Dec. 31, 2020	Dec. 31, 2019	Sep. 30, 2020
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Selling and administrative expenses	$ 209,000,000.0	$ 196,800,000
Acquisition-related intangible asset amortization	25,900,000	$ 26,700,000
Cares Act	21,200,000
Accumulated Other Comprehensive Income (Loss), Foreign Currency Translation Adjustment, Net of Tax	200,000
Standard Product Warranty Accrual, Increase for Warranties Issued	5,400,000
Standard Product Warranty Accrual, Decrease for Payments	(6,400,000)
Retained Earnings (Accumulated Deficit)	2,174,100,000		$ 2,132,200,000
Accounting Standards Update 2016-13 [Member]
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Deferred Tax Assets, Valuation Allowance	800,000
Retained Earnings (Accumulated Deficit)	3,000,000.0
Accounting Standards Update 2016-13 [Member] | Cumulative Effect, Period of Adoption, Adjustment [Member]
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Retained Earnings (Accumulated Deficit)	$ 2,200,000