Hello aspirant,

Hope you are doing well,

As per your question, according to your percentile your rank would be around 88k to 90 k, honestly at this percentile and rank your chances to get any NIT Or government college is low. Dont worry you can apply for JOSAA counselling and wait which college they will give at your respective percentile Or you should have a look on good private college as at this percentile you can get good private colleges. As you didn't mentioned your state so it would be difficult for me to predict private college for you at this percentile.

If you want to predict your your college and want know your chances in getting private college then you should use this predictor tool:-

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Hope this information helps you out .Thank you