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Share-Based Compensation - Schedule of Unrecognized Compensation Cost (Details)
$ in Millions
12 Months Ended
Oct. 02, 2020
USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Compensation cost not yet recognized $ 175.3
Time-Based Options  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Compensation cost not yet recognized $ 38.2
Compensation cost not yet recognized, period for recognition 2 years 8 months 19 days
Restricted Stock Units (RSUs)  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Compensation cost not yet recognized $ 114.9
Compensation cost not yet recognized, period for recognition 2 years 7 months 9 days
Performance Stock Units (PSUs)  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Compensation cost not yet recognized $ 0.0
Compensation cost not yet recognized, period for recognition 1 year 10 months 24 days
Retention Time-Based Options  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Compensation cost not yet recognized $ 22.2
Compensation cost not yet recognized, period for recognition 4 years 5 months 26 days