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Shareholders' Equity (Details 2) (USD $)
In Millions, except Share data, unless otherwise specified
1 Months Ended 3 Months Ended 12 Months Ended
Feb. 28, 2014
Jan. 03, 2015
Sep. 27, 2014
Jun. 28, 2014
Mar. 29, 2014
Dec. 28, 2013
Sep. 28, 2013
Jun. 29, 2013
Mar. 30, 2013
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Earnings Per Share                        
Shares repurchased under ASR 4,300,000txt_AcceleratedShareRepurchasesSharesAcquired                      
Value of shares repurchased under ASR $ 167us-gaap_AcceleratedShareRepurchasesSettlementPaymentOrReceipt                      
Weighted-average shares outstanding for basic and diluted                        
Basic weighted-average shares outstanding   277,347,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 278,860,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 280,280,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 281,094,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 282,308,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 281,525,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 280,163,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 273,200,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 279,409,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 279,299,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic 280,182,000us-gaap_WeightedAverageNumberOfSharesOutstandingBasic
Dilutive effect of:                        
Stock options                   2,049,000us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements 328,000us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements 428,000us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements
ASR                   332,000txt_IncrementalCommonSharesAttributableToAcceleratedShareRepurchaseAgreement    
Convertible notes and warrants                     4,801,000txt_IncrementalCommonSharesAttributableToConvertibleNotesAndWarrant 14,053,000txt_IncrementalCommonSharesAttributableToConvertibleNotesAndWarrant
Diluted weighted-average shares outstanding   279,771,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 281,030,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 282,764,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 283,327,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 282,707,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 281,710,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 283,824,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 288,978,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 281,790,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 284,428,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding 294,663,000us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding
Anti-dilutive effect of weighted average shares                   2,000,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount 5,000,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount 7,000,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount