Hello Aspirant,

According to the marks you have mentioned in the question your percentile would be in the range of 99.07-99.27 and your rank would lies in between 6556-8206. On the basis of this rank and percentile and category you can easily get into top NITs like NIT Uttarakhand,NIT Jaipur,NIT Jamshedpur and so on as per previous year's cut-offs. You can check out the cut-offs for top NITs from the link given below :-

https://www.google.com/amp/s/engineering.careers360.com/articles/jee-main-cutoff-for-top-nits/amp

You can also use JEE-Main College Predictor to predict the college :-

I hope this information helps you.

Good Luck!!