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Share-Based Compensation (Details 4) (USD $)
In Millions, unless otherwise specified
 12 Months Ended
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Restricted Stock Units      
Share-Based Compensation Awards      
Fair value of awards vested $ 25txt_ValueOfSharesOptionsOrUnitsVested
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember		 $ 26txt_ValueOfSharesOptionsOrUnitsVested
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember		 $ 35txt_ValueOfSharesOptionsOrUnitsVested
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
Cash paid 23txt_IntrinsicValueOfCashAwardsPaid
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember		 23txt_IntrinsicValueOfCashAwardsPaid
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember		 25txt_IntrinsicValueOfCashAwardsPaid
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
Performance Share Units      
Share-Based Compensation Awards      
Fair value of awards vested 20txt_ValueOfSharesOptionsOrUnitsVested
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember		 13txt_ValueOfSharesOptionsOrUnitsVested
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember		 10txt_ValueOfSharesOptionsOrUnitsVested
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
Cash paid $ 12txt_IntrinsicValueOfCashAwardsPaid
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember		 $ 11txt_IntrinsicValueOfCashAwardsPaid
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember		 $ 52txt_IntrinsicValueOfCashAwardsPaid
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember