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 86,9010. The chances of you getting in those nits if either of them is home state is average. You can check last year cutoffs for the colleges:

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

If you want to predict the colleges you will get for your percentile use below link:

Hope this is useful