Debt (Details) $ in Millions	6 Months Ended
	Apr. 02, 2016 USD ($) bank
Debt Instrument [Line Items]
Additional borrowing capacity on credit facility if agreed to by lenders	$ 500.0
Voting interest in foreign subsidiaries pledged against credit facility	65.00%
total leverage ratio, actual	3.12
Fixed charge coverage ratio, actual	8.70
Minimum
Debt Instrument [Line Items]
Line of Credit Facility, Variable Interest Rate, Length of Time Between Updates	30 days
Maximum
Debt Instrument [Line Items]
Line of Credit Facility, Variable Interest Rate, Length of Time Between Updates	180 days
Revolving Credit Facility [Member]
Debt Instrument [Line Items]
Credit facility amount	$ 1,000.0
Line of Credit [Member]
Debt Instrument [Line Items]
Borrowings outstanding	$ 838.1
Line of Credit Facility, Interest Rate at Period End	2.111%
Component of Base Rate, Basis Spread on Federal Reserve Bank of New York (FRBNY) rate	0.50%
Component of Base Rate, Basis Spread on Adjusted LIBOR	1.00%
Investment limit in foreign subsidiaries	$ 75.0
Cash investment limit for acquisition of business	200.0
Debt Instrument, Covenant Compliance, Unsecured Indebtedness Threshold	$ 200.0
Maximum total leverage ratio allowed under debt covenant prior to Q316 and covenant modification trigger event	3.5
Minimum fixed charge coverage ratio allowed under debt covenant	3.50
Maximum total leverage ratio allowed under debt covenant prior to Q416 and covenant modification trigger event	3.25
Maximum total leverage ratio allowed under debt covenant after covenant modification trigger event	4
Debt Instrument, Covenant Compliance, maximum Senior Debt Leverage Ratio after covenant modification trigger event	3.0
Line of Credit [Member] | Minimum
Debt Instrument [Line Items]
Credit facility commitment fees percentage	0.175%
Line of Credit [Member] | Maximum
Debt Instrument [Line Items]
Credit facility commitment fees percentage	0.30%
Secured Debt [Member]
Debt Instrument [Line Items]
Debt Instrument, Number of Banks in Credit Facility | bank	16
London Interbank Offered Rate (LIBOR) [Member] | Line of Credit [Member] | Minimum
Debt Instrument [Line Items]
Debt Instrument, Basis Spread on Variable Rate	1.25%
London Interbank Offered Rate (LIBOR) [Member] | Line of Credit [Member] | Maximum
Debt Instrument [Line Items]
Debt Instrument, Basis Spread on Variable Rate	1.75%
Base Rate [Member] | Line of Credit [Member] | Minimum
Debt Instrument [Line Items]
Debt Instrument, Basis Spread on Variable Rate	0.25%
Base Rate [Member] | Line of Credit [Member] | Maximum
Debt Instrument [Line Items]
Debt Instrument, Basis Spread on Variable Rate	0.75%
Domestic [Domain]
Debt Instrument [Line Items]
Voting interest in domestic subsidiaries pledged against credit facility	100.00%