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Stockholder's Equity (Tables)
 12 Months Ended
Jan. 03, 2016
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Common Stock Share Activity
Common stock and treasury stock activity:
 
Stock
 
Treasury Stock
Balance, December 30, 2012
 
37,162,697

 
—

Issued
 
408,485

 
—

Balance, December 29, 2013
 
37,571,182

 
—

Acquired
 
—

 
1,396,290

Issued
 
126,683

 
(354,009
)
Balance, December 28, 2014
 
37,697,865

 
1,042,281

Acquired
 
—

 
2,561,815

Issued
 
—

 
(420,830
)
Balance, January 3, 2016
 
37,697,865

 
3,183,266
Valuation of Stock Options Granted
Stock option valuation assumptions:
2014
 
2013
Expected dividend yield
—

 
—

Expected volatility
30.7
%
 
31.9
%
Risk-free interest rate
1.7
%
 
0.9
%
Expected life in years
7.4

 
7.3
Stock Option Transactions for Employee Stock Option Plans
Stock option transactions for Teledyne’s employee stock option plans are summarized as follows:
 
2015
 
2014
 
2013
 
Shares
 
Weighted Average Exercise Price
 
Shares
 
Weighted Average Exercise Price
 
Shares
 
Weighted Average Exercise Price
Beginning balance
2,499,708
 
$
63.85

 
2,419,372

 
$
53.77

 
2,203,005

 
$
45.90

Granted
—

 
$
—

 
567,008

 
$
94.22

 
573,724

 
$
75.17

Exercised
(333,527
)
 
$
50.59

 
(406,167
)
 
$
44.01

 
(313,265
)
 
$
37.10

Canceled or expired
(80,328
)
 
$
85.26

 
(80,505
)
 
$
74.72

 
(44,092
)
 
$
57.68

Ending balance
2,085,853

 
$
65.15

 
2,499,708

 
$
63.85

 
2,419,372

 
$
53.77

Options exercisable at end of period
1,609,109

 
$
58.30

 
1,477,205

 
$
49.81

 
1,414,002

 
$
43.40
Stock Options Outstanding and Stock Options Exercisable Under Employee Stock Option Plans
The following table provides certain information with respect to stock options outstanding and stock options exercisable at January 3, 2016, under the employee stock option plans: 
 
  
Stock Options Outstanding
 
Stock Options Exercisable
Range of Exercise Prices
  
Shares
 
Weighted Average Exercise Price
 
Remaining life in years
 
Shares
 
Weighted Average Exercise Price
$30.01-$40.00
  
233,519

 
$
38.44

 
1.0
 
233,519

 
$
38.44

$40.01-$50.00
  
459,481

 
$
44.63

 
4.7
 
459,481

 
$
44.63

$50.01-$60.00
  
182,544

 
$
50.81

 
2.3
 
182,544

 
$
50.81

$60.01-$70.00
 
298,175

 
$
64.73

 
6.4
 
298,175

 
$
64.73

$70.01-$80.00
 
427,028

 
$
75.17

 
7.4
 
276,774

 
$
75.17

$90.00-$95.74
 
485,106

 
$
94.27

 
8.4
 
158,616

 
$
94.27

 
  
2,085,853

 
$
65.15

 
5.7
 
1,609,109

 
$
58.30
Stock Option Transactions for Non-employee Stock Option Plans
Stock option transactions for Teledyne’s non-employee director stock option plans are summarized as follows:
 
2015
 
2014
 
2013
 
Shares
 
Weighted Average Exercise Price
 
Shares
 
Weighted Average Exercise Price
 
Shares
 
Weighted Average Exercise Price
Beginning balance
351,169

 
$
51.76

 
324,381

 
$
45.06

 
308,908

 
$
39.35

Granted
—

 
$
—

 
45,010

 
$
89.19

 
42,166

 
$
71.22

Exercised
(53,152
)
 
$
39.99

 
(18,088
)
 
$
24.59

 
(26,363
)
 
$
20.86

Canceled or expired
—

 
$
—

 
(134
)
 
$
61.80

 
(330
)
 
$
40.70

Ending balance
298,017

 
$
53.86

 
351,169

 
$
51.76

 
324,381

 
$
45.06

Options exercisable at end of period
298,017

 
$
53.86

 
310,159

 
$
46.88

 
282,215

 
$
41.07
Stock Options Outstanding and Stock Exercisable Under Non Employee Director Stock Option Plan
The following table provides certain information with respect to stock options outstanding and stock options exercisable at January 3, 2016, under the non-employee director stock option plan: 
 
 
Stock Options Outstanding and Exercisable
Range of Exercise Prices
 
Shares
 
Weighted Average Exercise Price
 
Remaining life in years
$15.53-$20.00
 
966

 
$
15.53

 
3.1
$20.01-$30.00
 
26,842

 
$
26.03

 
3.2
$30.01-$40.00
 
49,813

 
$
33.64

 
3.3
$40.01-$50.00
 
84,589

 
$
46.08

 
4.0
$50.01-$60.00
 
30,797

 
$
53.65

 
2.8
$60.01-$70.00
 
39,010

 
$
64.36

 
6.7
$70.01-$80.00
 
32,000

 
$
75.13

 
7.3
$80.01-$94.24
 
34,000

 
$
94.06

 
8.3
 
 
298,017

 
$
53.86

 
4.9
Summary of Restricted Stock Activity
Restricted stock:
  
Shares
 
Weighted average fair value per share
Balance, December 30, 2012
  
121,769

 
$
39.01

Granted
  
48,325

 
$
66.65

Issued
  
(39,867
)
 
$
29.62

Forfeited/Canceled
  
(944
)
 
$
29.62

Balance, December 29, 2013
  
129,283

 
$
52.31

Granted
 
37,688

 
$
88.05

Issued
 
(40,197
)
 
$
37.22

Forfeited/Canceled
 
(18,048
)
 
$
56.68

Balance, December 28, 2014
 
108,726

 
$
69.55

Granted
 
43,588

 
$
96.28

Issued
 
(29,642
)
 
$
51.38

Forfeited/Canceled
 
(13,502
)
 
$
82.33

Balance, January 3, 2016
 
109,170

 
$
83.58