Consolidated and Combined Balance Sheets (Parenthetical) (USD $) In Millions, except Share data, unless otherwise specified	Sep. 27, 2013	Sep. 28, 2012
Statement of Financial Position [Abstract]
Allowance for doubtful accounts	$ 4.6	$ 9.4
Preferred shares, par value (in usd per share)	$ 0.20	$ 0
Preferred shares, shares authorized (in shares)	500,000,000	0
Preferred shares, shares issued (in shares)	0	0
Preferred shares, shares outstanding (in shares)	0	0
Ordinary shares, par value (in usd per share)	$ 0.20	$ 0
Ordinary shares, shares authorized (in shares)	500,000,000	0
Ordinary shares, shares issued (in shares)	57,713,873	0
Ordinary shares, shares outstanding (in shares)	57,713,390	0
Ordinary shares held in treasury (in shares)	483	0