Fair Value Measurements - Schedule of Assets and Liabilities at Fair Value (Details) - USD ($) $ in Millions	Dec. 31, 2022	Sep. 30, 2022
Foreign Exchange Contract | Not Designated as Hedging Instrument
Liabilities, Fair Value Disclosure [Abstract]
Derivative, notional amount	$ 154.5	$ 150.5
Level 1
Other noncurrent assets
Total assets at fair value	0.4	0.4
Liabilities, Fair Value Disclosure [Abstract]
Total liabilities at fair value	0.0	0.0
Level 2
Other noncurrent assets
Total assets at fair value	27.2	37.1
Liabilities, Fair Value Disclosure [Abstract]
Total liabilities at fair value	2.7	5.2
NAV (a)
Other noncurrent assets
Non-qualified trust funds	5.7	6.4
Liabilities, Fair Value Disclosure [Abstract]
Deferred compensation obligations	20.5	19.6
Fair Value, Measurements, Recurring
Prepaid Expense and Other Assets, Current [Abstract]
Currency derivatives	2.6	6.0
Other noncurrent assets
Non-qualified trust funds	5.7	6.4
Interest rate swap agreements	12.0	12.6
Total assets at fair value	33.3	43.9
Liabilities, Fair Value Disclosure [Abstract]
Currency derivatives	2.7	5.2
Deferred compensation obligations	20.5	19.6
Total liabilities at fair value	23.2	24.8
Fair Value, Measurements, Recurring | Money market funds
Cash and cash equivalents
Cash and cash equivalents	0.4	0.4
Fair Value, Measurements, Recurring | Time deposits
Cash and cash equivalents
Cash and cash equivalents	8.6	13.3
Fair Value, Measurements, Recurring | Prepaid expenses and other current assets
Other noncurrent assets
Interest rate swap agreements	4.0	5.2
Fair Value, Measurements, Recurring | Level 1 | Money market funds
Cash and cash equivalents
Cash and cash equivalents	0.4	0.4
Fair Value, Measurements, Recurring | Level 2
Prepaid Expense and Other Assets, Current [Abstract]
Currency derivatives	2.6	6.0
Other noncurrent assets
Non-qualified trust funds	0.0	0.0
Interest rate swap agreements	12.0	12.6
Liabilities, Fair Value Disclosure [Abstract]
Currency derivatives	2.7	5.2
Fair Value, Measurements, Recurring | Level 2 | Time deposits
Cash and cash equivalents
Cash and cash equivalents	8.6	13.3
Fair Value, Measurements, Recurring | Level 2 | Prepaid expenses and other current assets
Other noncurrent assets
Interest rate swap agreements	4.0	5.2
Fair Value, Measurements, Recurring | NAV (a)
Other noncurrent assets
Non-qualified trust funds	5.7	6.4
Liabilities, Fair Value Disclosure [Abstract]
Deferred compensation obligations	$ 20.5	$ 19.6