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Condensed Consolidating Financial Statements (Details 3) - USD ($)
$ in Millions
3 Months Ended
Aug. 31, 2016
Aug. 31, 2015
Condensed Financial Statements Captions [Line Items]    
REVENUES $ 14,663 $ 12,279
OPERATING EXPENSES:    
Salaries and employee benefits 5,311 4,525
Purchased transportation 3,240 2,344
Rentals and landing fees 790 695
Depreciation and amortization 739 648
Fuel 650 712
Maintenance and repairs 598 548
Other 2,071 1,663
OPERATING EXPENSES 13,399 11,135
OPERATING INCOME 1,264 1,144
OTHER INCOME (EXPENSE):    
Interest, net (113) (63)
Other, net (9) 3
INCOME BEFORE INCOME TAXES 1,142 1,084
PROVISION FOR INCOME TAXES 427 392
NET INCOME 715 692
COMPREHENSIVE INCOME 708 530
Parent Company Member    
OPERATING EXPENSES:    
Salaries and employee benefits 36 34
Rentals and landing fees 1 1
Intercompany charges, net (90) (69)
Other 53 34
OTHER INCOME (EXPENSE):    
Equity in earnings of subsidiaries 715 692
Interest, net (122) (75)
Intercompany charges, net 122 78
Other, net   (3)
INCOME BEFORE INCOME TAXES 715 692
NET INCOME 715 692
COMPREHENSIVE INCOME 696 674
Guarantor Subsidiaries Member    
Condensed Financial Statements Captions [Line Items]    
REVENUES 10,903 9,873
OPERATING EXPENSES:    
Salaries and employee benefits 4,106 3,813
Purchased transportation 1,917 1,434
Rentals and landing fees 620 587
Depreciation and amortization 611 583
Fuel 578 691
Maintenance and repairs 526 508
Intercompany charges, net 62 (40)
Other 1,373 1,264
OPERATING EXPENSES 9,793 8,840
OPERATING INCOME 1,110 1,033
OTHER INCOME (EXPENSE):    
Equity in earnings of subsidiaries 56 61
Interest, net 9 8
Intercompany charges, net (81) (76)
Other, net (5) (3)
INCOME BEFORE INCOME TAXES 1,089 1,023
PROVISION FOR INCOME TAXES 380 357
NET INCOME 709 666
COMPREHENSIVE INCOME 702 651
Non Guarantor Subsidiaries Member    
Condensed Financial Statements Captions [Line Items]    
REVENUES 3,830 2,509
OPERATING EXPENSES:    
Salaries and employee benefits 1,169 678
Purchased transportation 1,351 965
Rentals and landing fees 170 108
Depreciation and amortization 128 65
Fuel 72 21
Maintenance and repairs 72 40
Intercompany charges, net 28 109
Other 686 412
OPERATING EXPENSES 3,676 2,398
OPERATING INCOME 154 111
OTHER INCOME (EXPENSE):    
Interest, net   4
Intercompany charges, net (41) (2)
Other, net (4) 9
INCOME BEFORE INCOME TAXES 109 122
PROVISION FOR INCOME TAXES 47 35
NET INCOME 62 87
COMPREHENSIVE INCOME 81 (42)
Consolidation Eliminations Member    
Condensed Financial Statements Captions [Line Items]    
REVENUES (70) (103)
OPERATING EXPENSES:    
Purchased transportation (28) (55)
Rentals and landing fees (1) (1)
Other (41) (47)
OPERATING EXPENSES (70) (103)
OTHER INCOME (EXPENSE):    
Equity in earnings of subsidiaries (771) (753)
INCOME BEFORE INCOME TAXES (771) (753)
NET INCOME (771) (753)
COMPREHENSIVE INCOME $ (771) $ (753)