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Funded Status of Pension Plan and Amounts Recognized in Bank's Financial Statements (Detail) - Pension
$ in Thousands, ₨ in Millions
 12 Months Ended
Mar. 31, 2021
INR (₨)
Mar. 31, 2021
USD ($)
Mar. 31, 2020
INR (₨)
Mar. 31, 2019
INR (₨)
Mar. 31, 2021
USD ($)
Change in benefit obligations:          
Projected benefit obligation ("PBO"), beginning of the period ₨ 598.2 $ 8,200 ₨ 677.6    
Service cost 14.6 200 6.5 ₨ 7.7  
Interest cost 37.7 500 45.3 66.3  
Actuarial (gains)/losses 327.9 4,500 15.3    
Benefits paid (116.4) (1,600) (146.5)    
Projected benefit obligation, end of the period 862.0 11,800 598.2 677.6  
Change in plan assets:          
Fair value of plan assets, beginning of the period 95.2 1,300 219.5    
Expected return on plan assets 3.2 0 11.0 18.6  
Actuarial gains/(losses) (1.7) 0 2.9    
Actual return on plan assets 1.5 0 13.9    
Employer contributions 23.0 300 8.3    
Benefits paid (116.4) (1,600) (146.5)    
Fair value of plan assets, end of the period 3.3 $ 0 95.2 ₨ 219.5  
Funded Status ₨ (858.7)   ₨ (503.0)   $ (11,800)