CONDENSED CONSOLIDATING FINANCIAL INFORMATION (Details 4) (USD $)
 3 Months Ended 4 Months Ended 12 Months Ended 5 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2012
Dec. 31, 2012
Dec. 31, 2014
Dec. 31, 2013
Aug. 30, 2012
Mar. 29, 2012
Increase (Decrease) in Stockholders' Equity                            
Balance       $ 1,507,470,000       $ 766,774,000     $ 1,507,470,000 $ 766,774,000    
Net loss 29,819,000 7,376,000 31,393,000 (4,508,000) 279,617,000 33,465,000 61,576,000 (10,258,000) (42,670,000) (42,670,000) 64,080,000 364,400,000    
Other comprehensive earnings (loss)                 9,444,000 9,444,000 (11,360,000) 14,760,000    
Net proceeds from IPO                       355,299,000    
Stock based compensation                     11,293,000 6,483,000    
Merger consideration                   700,000,000        
Capital contributions                 100,000,000          
Dividends declared 225,000,000                   225,000,000      
Purchase shares for treasury                     49,000 246,000    
Balance 1,512,732,000       1,507,470,000       766,774,000 766,774,000 1,512,732,000 1,507,470,000    
Class A common stock                            
Increase (Decrease) in Stockholders' Equity                            
Balance       214,000             214,000      
Balance (in shares)       21,412,804             21,412,804      
Net proceeds from IPO                       211,000    
Net proceeds from IPO (in shares)                       21,052,632    
Stock based compensation                       3,000    
Stock based compensation (in shares)                     11,035 360,172    
Balance 214,000       214,000           214,000 214,000    
Balance (in shares) 21,423,839       21,412,804           21,423,839 21,412,804    
Class B common stock                            
Increase (Decrease) in Stockholders' Equity                            
Merger consideration                   662,000        
Merger consideration (in shares)                   66,252,108        
Capital contributions                 96,000          
Capital contributions (in shares)                 9,574,819          
Balance 758,000       758,000       758,000 758,000 758,000 758,000    
Balance (in shares) 75,826,927       75,826,927       75,826,927 75,826,927 75,826,927 75,826,927    
Additional Paid-in Capital                            
Increase (Decrease) in Stockholders' Equity                            
Balance       1,161,152,000       799,242,000     1,161,152,000 799,242,000    
Net proceeds from IPO                       355,088,000    
Stock based compensation                     11,293,000 6,480,000    
Merger consideration                   699,338,000        
Capital contributions                 99,904,000          
Purchase shares for treasury                     (43,000) (342,000)    
Balance 1,172,515,000       1,161,152,000       799,242,000 799,242,000 1,172,515,000 1,161,152,000    
Treasury Stock                            
Increase (Decrease) in Stockholders' Equity                            
Balance       (588,000)             (588,000)      
Purchase shares for treasury                     92,000 588,000    
Balance (680,000)       (588,000)           (680,000) (588,000)    
Accumulated Other Comprehensive Income (Loss)                            
Increase (Decrease) in Stockholders' Equity                            
Balance       24,204,000       9,444,000     24,204,000 9,444,000    
Other comprehensive earnings (loss)                 9,444,000   (11,360,000) 14,760,000    
Balance 12,844,000       24,204,000       9,444,000 9,444,000 12,844,000 24,204,000    
Accumulated Earnings (Deficit)                            
Increase (Decrease) in Stockholders' Equity                            
Balance       321,730,000       (42,670,000)     321,730,000 (42,670,000)    
Net loss                 (42,670,000)   64,080,000 364,400,000    
Balance 327,081,000       321,730,000       (42,670,000) (42,670,000) 327,081,000 321,730,000    
AMCH                            
Increase (Decrease) in Stockholders' Equity                            
Balance       1,507,470,000       766,774,000     1,507,470,000 766,774,000    
Net loss                 (42,670,000) (42,670,000) 64,080,000 364,400,000    
Other comprehensive earnings (loss)                 9,444,000   (11,360,000) 14,760,000    
Net proceeds from IPO                       355,299,000    
Stock based compensation                       6,483,000    
Merger consideration                 700,000,000          
Capital contributions                 100,000,000          
Dividends declared (58,702,000)                   (58,702,000)      
Purchase shares for treasury                     (49,000) (246,000)    
Balance 1,512,732,000       1,507,470,000       766,774,000 766,774,000 1,512,732,000 1,507,470,000    
AMCH | Class A common stock                            
Increase (Decrease) in Stockholders' Equity                            
Balance (in shares) 21,423,839       21,412,804           21,423,839 21,412,804    
AMCH | Class B common stock                            
Increase (Decrease) in Stockholders' Equity                            
Balance (in shares) 75,826,927       75,826,927           75,826,927 75,826,927    
AMCH | Common Stock | Class A common stock                            
Increase (Decrease) in Stockholders' Equity                            
Net proceeds from IPO                       211,000    
Net proceeds from IPO (in shares)                       21,052,632    
Stock based compensation                       3,000    
Stock based compensation (in shares)                       360,172    
Balance 214,000       214,000           214,000 214,000    
Balance (in shares) 21,423,839       21,412,804           21,423,839 21,412,804    
AMCH | Common Stock | Class B common stock                            
Increase (Decrease) in Stockholders' Equity                            
Merger consideration                 662,000          
Merger consideration (in shares)                 66,252,108          
Capital contributions                 96,000          
Capital contributions (in shares)                 9,574,819          
Balance 758,000       758,000       758,000 758,000 758,000 758,000    
Balance (in shares) 75,826,927       75,826,927       75,826,927 75,826,927 75,826,927 75,826,927    
AMCH | Additional Paid-in Capital                            
Increase (Decrease) in Stockholders' Equity                            
Balance       1,161,152,000       799,242,000     1,161,152,000 799,242,000    
Net proceeds from IPO                       355,088,000    
Stock based compensation                       6,480,000    
Merger consideration                 699,338,000          
Capital contributions                 99,904,000          
Dividends declared 27,000                   27,000      
Purchase shares for treasury                     43,000 342,000    
Balance 1,172,515,000       1,161,152,000       799,242,000 799,242,000 1,172,515,000 1,161,152,000    
AMCH | Treasury Stock                            
Increase (Decrease) in Stockholders' Equity                            
Balance       (588,000)             (588,000)      
Purchase shares for treasury                     (92,000) (588,000)    
Balance (680,000)       (588,000)           (680,000) (588,000)    
AMCH | Accumulated Other Comprehensive Income (Loss)                            
Increase (Decrease) in Stockholders' Equity                            
Balance       24,204,000       9,444,000     24,204,000 9,444,000    
Other comprehensive earnings (loss)                 9,444,000   (11,360,000) 14,760,000    
Balance 12,844,000       24,204,000       9,444,000 9,444,000 12,844,000 24,204,000    
AMCH | Accumulated Earnings (Deficit)                            
Increase (Decrease) in Stockholders' Equity                            
Balance       321,730,000       (42,670,000)     321,730,000 (42,670,000)    
Net loss                 (42,670,000)   64,080,000 364,400,000    
Dividends declared (58,729,000)                   (58,729,000)      
Balance 327,081,000       321,730,000       (42,670,000) (42,670,000) 327,081,000 321,730,000    
AMCH | Predecessor                            
Increase (Decrease) in Stockholders' Equity                            
Balance                         157,601,000  
Net loss                         90,157,000  
Other comprehensive earnings (loss)                         9,034,000  
Stock based compensation                         830,000  
Balance                         257,622,000  
AMCH | Predecessor | Common Stock | Class A 1                            
Increase (Decrease) in Stockholders' Equity                            
Balance                           4,000
Balance (in shares)                           382,475.00000
Balance                         4,000 4,000
Balance (in shares)                         382,475.00000 382,475.00000
AMCH | Predecessor | Common Stock | Class A 2                            
Increase (Decrease) in Stockholders' Equity                            
Balance                           4,000
Balance (in shares)                           382,475.00000
Balance                         4,000 4,000
Balance (in shares)                         382,475.00000 382,475.00000
AMCH | Predecessor | Common Stock | Class N common stock                            
Increase (Decrease) in Stockholders' Equity                            
Balance (in shares)                           2,021.01696
Balance (in shares)                         2,021.01696 2,021.01696
AMCH | Predecessor | Common Stock | Class L-1                            
Increase (Decrease) in Stockholders' Equity                            
Balance                           3,000
Balance (in shares)                           256,085.61252
Balance                         3,000 3,000
Balance (in shares)                         256,085.61252 256,085.61252
AMCH | Predecessor | Common Stock | Class L-2                            
Increase (Decrease) in Stockholders' Equity                            
Balance                           3,000
Balance (in shares)                           256,085.61252
Balance                         3,000 3,000
Balance (in shares)                         256,085.61252 256,085.61252
AMCH | Predecessor | Additional Paid-in Capital                            
Increase (Decrease) in Stockholders' Equity                            
Balance                         673,325,000  
Stock based compensation                         830,000  
Balance                         674,155,000  
AMCH | Predecessor | Treasury Stock                            
Increase (Decrease) in Stockholders' Equity                            
Balance                           (2,596,000)
Balance                         (2,596,000) (2,596,000)
AMCH | Predecessor | Accumulated Other Comprehensive Income (Loss)                            
Increase (Decrease) in Stockholders' Equity                            
Balance                         (20,203,000)  
Other comprehensive earnings (loss)                         9,034,000  
Balance                         (11,169,000)  
AMCH | Predecessor | Accumulated Earnings (Deficit)                            
Increase (Decrease) in Stockholders' Equity                            
Balance                         (492,939,000)  
Net loss                         90,157,000  
Balance                         $ (402,782,000)