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Stock-Based Payments (Narrative) (Details) - USD ($)
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number 1,361,228 1,559,231  
Vesting percentage after one year 25.00%    
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period 4 years    
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized $ 138,300,000    
Employee service share-based compensation, unrecognized compensation costs on nonvested awards, Weighted Average Period of Recognition, years 2 years    
Share-based compensation arrangement by share-based payment award, options, exercises in period, total intrinsic value $ 17,800,000 $ 20,400,000 $ 19,900,000
Granted performance shares 513,777    
Restricted Class A common stock, fair value $ 76,600,000 66,000,000 59,800,000
Total expense for stock payments $ 96,800,000 $ 58,300,000 $ 66,400,000
Share-based compensation arrangement by share-based payment award, discount from market price 90.00%    
Class A common stock issued to participating employees 22,249 19,936 19,858
Director Stock Plan; Class A Shares [Member]      
Total expense for stock payments $ 2,600,000 $ 2,500,000 $ 2,400,000
Annual award of class A common stock value 115,000    
Annual stipend allowance in shares of stock $ 75,000    
Annual stipend allowance in shares of stock (in shares) 16,640 19,736 26,439
Future Award Of Class A Common Stock Value $ 120,000    
Future Annual Stipend Allowance In Shares Of Stock 80,000    
Employee Stock Purchase Plan; Class A Shares [Member]      
Total expense for stock payments $ 400,000 $ 300,000 $ 200,000
Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period 2 years    
Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period 4 years    
Performance Shares [Member]      
Granted performance shares 171,447    
Restricted Class A common stock, fair value $ 31,100,000    
Restricted Stock Units (RSUs) [Member]      
Stock options, granted, shares 7,696    
Class A Common Stock (Shares) [Member]      
Stock options, granted, shares 334,634    
Restricted Class A common stock, fair value $ 59,200,000    
CME Group Omnibus Stock Plan [Member]      
Share-based compensation arrangement by share-based payment award, number of shares reserved 40,200,000    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number 24,200,000