Admissions to any universities or colleges are given based on your rank. As per your overall percentile your rank could be between 173250 - 178920 approximately.
It would be little difficult for you get admitted into top NITs or IIITs. However you can click on the below link to check the eligibility criteria for NITs and IITs.
https://engineering.careers360.com/articles/how-get-admission-in-nits-through-jee-main
https://engineering.careers360.com/articles/jee-main-cutoff-for-top-iiits
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