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Accumulated Other Comprehensive Income (Loss) - Schedule of Changes in Accumulated Other Comprehensive Income (Loss) by Component (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Oct. 01, 2019
Oct. 01, 2018
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2020
Jun. 30, 2019
Accumulated Other Comprehensive Income (Loss) [Roll Forward]            
Balance at beginning of period $ 2,599.8       $ 2,599.8  
Total other comprehensive income (loss), net of tax     $ 14.4 $ 4.2 7.1 $ (15.5)
Balance at end of period     2,768.9   2,768.9  
Employee Pension and Postretirement Benefits, Net of Tax            
Accumulated Other Comprehensive Income (Loss) [Roll Forward]            
Balance at beginning of period (69.4) $ (10.9) (68.0) (23.8) (69.4) (10.9)
Other comprehensive income (loss) before reclassifications           (3.9)
Amounts reclassified from accumulated other comprehensive income (loss)     0.7   2.1 0.1
Total other comprehensive income (loss), net of tax     0.7   2.1 (3.8)
Balance at end of period (20.0)   (67.3) (23.8) (67.3) (23.8)
Employee Pension and Postretirement Benefits, Net of Tax | Accounting Standards Update 2018-02 | Revision of Prior Period, Accounting Standards Update, Adjustment            
Accumulated Other Comprehensive Income (Loss) [Roll Forward]            
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification (9.1)          
Cumulative Translation Adjustments            
Accumulated Other Comprehensive Income (Loss) [Roll Forward]            
Balance at beginning of period (132.5) (96.2) (141.4) (111.9) (132.5) (96.2)
Other comprehensive income (loss) before reclassifications     14.4 4.2 5.5 (11.5)
Total other comprehensive income (loss), net of tax     14.4 4.2 5.5 (11.5)
Balance at end of period (96.2)   (127.0) (107.7) (127.0) (107.7)
Derivative Instruments            
Accumulated Other Comprehensive Income (Loss) [Roll Forward]            
Balance at beginning of period 0.3 0.3 0.5 0.1 0.3 0.3
Other comprehensive income (loss) before reclassifications     (0.7)   (0.5) (0.2)
Total other comprehensive income (loss), net of tax     (0.7)   (0.5) (0.2)
Balance at end of period 0.3   (0.2) 0.1 (0.2) 0.1
Accumulated Other Comprehensive Income (Loss)            
Accumulated Other Comprehensive Income (Loss) [Roll Forward]            
Balance at beginning of period (201.6) (106.8) (208.9) (135.6) (201.6) (106.8)
Other comprehensive income (loss) before reclassifications     13.7 4.2 5.0 (15.6)
Amounts reclassified from accumulated other comprehensive income (loss)     0.7   2.1 0.1
Total other comprehensive income (loss), net of tax     14.4 4.2 7.1 (15.5)
Balance at end of period (115.9)   $ (194.5) $ (131.4) $ (194.5) $ (131.4)
Accumulated Other Comprehensive Income (Loss) | Accounting Standards Update 2018-02 | Revision of Prior Period, Accounting Standards Update, Adjustment            
Accumulated Other Comprehensive Income (Loss) [Roll Forward]            
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification $ (9.1) $ (9.1)