hello aspirant,

66 percentile would fetch you a rank around 347820-391000 .As of now its tough to say because the analysis and also cutoffs change every year due to many factors like total students appearing for exam,difficulty level of paper etc with your percentile ,you have tough chances to fetch seat for fetching in nits,iiits.you need better percentile of 98+  to fetch seat in top nits,iiits..you can try in private engineering colleges using your jee percentile. workhard for the upcoming jeemain sessions..you can get closing rank for josaa official website: https://josaa.nic.in/Result/Result/currentorcr.aspx  ..for top private engineering colleges you can try  for the below colleges through jeemains:

thapar university

BIT mesra

sastra university

srm university

amritha vishwa vidyapeetham

for more information to get a personalised report on what all chances you have for your rank refer to: https://engineering.careers360.com/jee-main-college-predictor? icn=QnA&ici=qna_answer

refer to: https://engineering.careers360.com/colleges/ranking/top-engineering-colleges-in-India-accepting-jee-main-score

hope this helps,

thankyou.