Condensed Consolidated Statements of Operations - USD ($) shares in Millions, $ in Millions	3 Months Ended		6 Months Ended
	Mar. 31, 2018	Apr. 01, 2017	Mar. 31, 2018	Apr. 01, 2017
Income Statement [Abstract]
Net sales	$ 1,013.3	$ 1,084.6	$ 1,234.9	$ 1,292.0
Cost of sales	604.1	620.3	791.7	790.9
Gross profit	409.2	464.3	443.2	501.1
Operating expenses:
Selling, general and administrative	166.0	178.8	274.2	282.9
Impairment, restructuring and other	10.2	1.0	10.0	0.8
Other (income) expense, net	0.7	(0.8)	(1.4)	(6.1)
Income (loss) from operations	232.3	285.3	160.4	223.5
Equity in (income) loss of unconsolidated affiliates	(1.5)	24.1	(2.1)	37.3
Interest expense	22.6	21.5	40.4	36.8
Other non-operating expense, net	9.2	0.0	6.7	0.0
Income (loss) from continuing operations before income taxes	202.0	239.7	115.4	149.4
Income tax expense (benefit) from continuing operations	49.3	85.6	(17.3)	53.4
Income from continuing operations	152.7	154.1	132.7	96.0
Income (loss) from discontinued operations, net of tax	(3.7)	11.1	(4.9)	4.3
Net income (loss)	149.0	165.2	127.8	100.3
Net income attributable to noncontrolling interest	(0.1)	(0.1)	(0.1)	(0.5)
Net income (loss) attributable to controlling interest	$ 148.9	$ 165.1	$ 127.7	$ 99.8
Basic income (loss) per common share:
Income from continuing operations (USD per share)	$ 2.70	$ 2.58	$ 2.33	$ 1.59
Income (loss) from discontinued operations (USD per share)	(0.06)	0.18	(0.09)	0.08
Basic income (loss) per common share (USD per share)	$ 2.64	$ 2.76	$ 2.24	$ 1.67
Weighted-average common shares outstanding during the period (shares)	56.5	59.8	57.0	60.0
Diluted income (loss) per common share:
Income from continuing operations (USD per share)	$ 2.66	$ 2.54	$ 2.29	$ 1.57
Income (loss) from discontinued operations (USD per share)	(0.07)	0.19	(0.09)	0.07
Diluted income (loss) per common share (USD per share)	$ 2.59	$ 2.73	$ 2.20	$ 1.64
Weighted-average common shares outstanding during the period plus dilutive potential common shares (shares)	57.4	60.6	58.0	60.9
Dividends declared per common share (USD per share)	$ 0.53	$ 0.5000	$ 1.06	$ 1.000