Consolidated Balance Sheets (Parenthetical) $ in Millions	Dec. 29, 2017 USD ($) $ / shares shares	Dec. 29, 2017 € / shares	Dec. 30, 2016 USD ($) $ / shares shares	Dec. 30, 2016 € / shares	Sep. 30, 2016 USD ($) $ / shares shares	Sep. 30, 2016 € / shares
Statement of Financial Position [Abstract]
Allowance for doubtful accounts | $	$ 3.9		$ 4.0		$ 4.0
Preferred shares, par value (in usd per share) | $ / shares	$ 0.20		$ 0.20		$ 0.20
Preferred shares, shares authorized (in shares)	500,000,000		500,000,000		500,000,000
Preferred shares, shares issued (in shares)	0		0		0
Preferred shares, shares outstanding (in shares)	0		0		0
Ordinary A shares, par value (in eur per share) | € / shares		€ 1.00		€ 1.00		€ 1.00
Ordinary A shares, shares authorized (in shares)	40,000		40,000		40,000
Ordinary A shares, shares issued (in shares)	0		0		0
Ordinary A shares, shares outstanding (in shares)	0		0		0
Ordinary shares, par value (in usd per share) | $ / shares	$ 0.20		$ 0.20		$ 0.20
Ordinary shares, shares authorized (in shares)	500,000,000		500,000,000		500,000,000
Ordinary shares, shares issued (in shares)	92,196,662		118,182,944		118,137,297
Ordinary shares, shares outstanding (in shares)	86,336,232		104,667,545		107,167,693
Ordinary shares held in treasury (in shares)	5,860,430		13,515,399		11,000,000