Hello  Aspirant,

Congrats for getting good percentile. This year total 869010 students attempted jee January. You can calculate your approximate rank using formula  (100-percentile)*869010/100. That is 86,901. The chances of getting into home state nit are well. You can see last year cut offs for clarification :

https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/articles/nits-cutoff-for-top-btech-branches/amp&ved=2ahUKEwickbTG99_nAhW7zDgGHXgwCwQQFjALegQIBxAB&usg=AOvVaw2OXl9cMS4B7GJ9DfTIJZCg&ampcf=1

To predict the colleges for your percentile use below link:

Hope this is useful