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Equity Based Compensation (Tables)
 12 Months Ended
Dec. 31, 2015
Equity-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Schedule of Share-based Payment Award, Stock Options, Valuation Assumptions [Table Text Block]
The table below provides the assumptions used in estimating the fair values of our outstanding stock options and SARs under the Plan. For all awards granted, we calculated volatility using historical volatility and implied volatility of a peer group of public companies using weekly stock prices.
 
 
2015 Grants
 
2014 Grants
 
2013 Grants
 
 
(Graded Vesting)
 
(Graded Vesting)
 
(Graded Vesting)
 
 
4 years
 
4 years
 
4 years
Expected volatility
 
48.94%-52.15%

 
50.15%-52.63%

 
53.36%-53.95%

Dividend yield
 
2.01%-2.49%

 
2.54%-2.74%

 
1.00
%
Expected term
 
4.69-4.87 years

 
4.54-6.25 years

 
6.25 years

Risk free rate
 
0.01%-2.50%

 
0.01%-2.96%

 
0.01%-2.96%

Fair value per share
 
$
11.72

 
$
10.67

 
$
15.75
Schedule of Share-based Compensation, Stock Options and Stock Appreciation Rights Award Activity [Table Text Block]
The following table summarizes the stock option and SAR activity under the Plan for Delek for the years ended December 31, 2015, 2014 and 2013:

 
 
Number of Options
 
Weighted-Average Strike Price
 
Weighted-Average Contractual Term (in years)
 
Average Intrinsic Value
(in millions)
Options outstanding, December 31, 2012
2,558,841

 
$
15.67

 
 
 
 
Granted
 
867,400

 
$
33.23

 
 
 
 
Exercised
 
(773,186
)
 
$
14.07

 
 
 
 
Forfeited
 
(265,125
)
 
$
20.41

 
 
 
 
Options and SARs outstanding, December 31, 2013
2,387,930

 
$
22.04

 
 
 
 
Granted
 
1,006,100

 
$
30.18

 
 
 
 
Exercised
 
(390,753
)
 
$
14.27

 
 
 
 
Forfeited
 
(306,691
)
 
$
27.02

 
 
 
 
Options and SARs outstanding, December 31, 2014
2,696,586

 
$
25.61

 
 
 
 
Granted
 
953,850

 
$
34.42

 
 
 
 
Exercised
 
(344,193
)
 
$
18.89

 
 
 
 
Forfeited
 
(274,100
)
 
$
31.64

 
 
 
 
Options and SARs outstanding, December 31, 2015
3,032,143

 
$
28.60

 
7.9
 
$
15.6

Vested options and SARs exercisable, December 31, 2015
710,251

 
$
12.38

 
5.5
 
$
8.7
Schedule of Share-based Compensation, Restricted Stock Units Award Activity [Table Text Block]
The following table summarizes the RSU and PRSU activity under the Plan for Delek for the years ended December 31, 2015, 2014 and 2013:

 
 
Number of RSUs
 
Weighted-Average Grant Date Price
Balance
December 31, 2012
812,455

 
$
13.73

Granted
 
121,000

 
$
32.59

Vested
 
(284,786
)
 
$
15.02

Forfeited
 
(136,000
)
 
$
10.91

Balance
December 31, 2013
512,669

 
$
18.21

Granted
 
145,452

 
$
32.41

Vested
 
(241,122
)
 
$
18.17

Balance
December 31, 2014
416,999

 
$
23.19

Granted
 
192,679

 
$
41.23

Vested
 
(221,687
)
 
$
20.61

Forfeited
 
(3,424
)
 
$
36.53

Balance
December 31, 2015
384,567

 
$
33.60
Performance Shares [Member]  
Equity-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Schedule of Share-based Payment Award, Stock Options, Valuation Assumptions [Table Text Block]
The table below provides the assumptions used in estimating the fair values of our outstanding PRSUs under the Plan. For all awards granted, we calculated volatility using historical volatility and implied volatility of a peer group of public companies using weekly stock prices.

 
2015 Grants
 
2014 Grants
Expected volatility
37.19%-39.18%

 
40.26
%
Expected term
2.56-2.81

 
2.56

Risk free rate
0.97%-1.02%

 
0.72
%
Fair value per share
$
52.17

 
$
36.84