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Condensed Consolidated Statements of Income - USD ($)
shares in Millions, $ in Millions
 3 Months Ended 6 Months Ended
Apr. 02, 2023
Apr. 03, 2022
Apr. 02, 2023
Apr. 03, 2022
Income Statement [Abstract]        
Net sales $ 729.2 $ 807.8 $ 1,442.5 $ 1,565.0
Cost of goods sold 514.7 552.2 1,026.1 1,090.1
Gross profit 214.5 255.6 416.4 474.9
Selling 133.1 149.8 264.4 296.1
General and administrative 86.2 105.7 170.8 195.0
Research and development 5.2 8.2 11.4 15.8
Impairment of intangible assets 67.0 0.0 67.0 0.0
Total operating expenses 291.5 263.7 513.6 506.9
Operating loss (77.0) (8.1) (97.2) (32.0)
Interest expense 31.6 24.7 65.0 46.4
Other non-operating expense (income), net 1.2 (0.9) (0.3) (0.3)
Loss from continuing operations before income taxes (109.8) (31.9) (161.9) (78.1)
Income tax benefit (34.8) (6.8) (46.9) (22.8)
Net loss from continuing operations (75.0) (25.1) (115.0) (55.3)
Income from discontinued operations, net of tax 21.4 41.1 40.9 79.9
Net (loss) income (53.6) 16.0 (74.1) 24.6
Net income from continuing operations attributable to non-controlling interest 0.1 0.0 0.3 0.0
Net income from discontinued operations attributable to non-controlling interest 0.0 0.1 0.2 0.5
Net (loss) income attributable to controlling interest (53.7) 15.9 (74.6) 24.1
Amounts attributable to controlling interest        
Net loss from continuing operations attributable to controlling interest (75.1) (25.1) (115.3) (55.3)
Net income from discontinued operations attributable to controlling interest 21.4 41.0 40.7 79.4
Net (loss) income attributable to controlling interest $ (53.7) $ 15.9 $ (74.6) $ 24.1
Earnings Per Share        
Basic earnings per share from continuing operations (in dollars per share) $ (1.83) $ (0.61) $ (2.82) $ (1.35)
Basic earnings per share from discontinued operations (in dollars per share) 0.52 1.00 1.00 1.94
Basic earnings per share (in dollars per share) (1.31) 0.39 (1.82) 0.59
Diluted earnings per share from continuing operations (in dollars per share) (1.83) (0.61) (2.82) (1.35)
Diluted earnings per share from discontinued operations (in dollars per share) 0.52 1.00 1.00 1.94
Diluted earnings per share (in dollars per share) (1.31) 0.39 (1.82) 0.59
Dividend per share (in dollars per share) $ 0.42 $ 0.42 $ 0.84 $ 0.84
Weighted Average Shares Outstanding        
Basic (in shares) 41.0 40.8 40.9 41.1
Diluted (in shares) 41.0 40.8 40.9 41.1