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Other Financial Information - Contracts with Customers (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 02, 2020
Sep. 27, 2019
Sep. 28, 2018
Deferred Revenue Arrangement [Line Items]      
Unbilled receivables - current $ 306.2 $ 346.7  
Unbilled receivables - long-term 68.6 35.1  
Deferred revenues - current (782.2) (766.0)  
Deferred revenues - long-term (68.5) (73.1)  
Total net unbilled receivables (deferred revenues) (475.9) (457.3)  
Increase (decrease) in unbilled receivables 11.2 71.1 $ 0.8
Increase in deferred revenue (11.6)    
Deferred revenues recognized 663.1 $ 619.2  
Unbilled Revenues      
Deferred Revenue Arrangement [Line Items]      
Increase (decrease) in unbilled receivables $ (7.0)