hii 

thats great of 87.69 while percentile wont fetch you anything as the admission is done on the rank so kindly find you rank in the below way,

after knowing the rank check the cutt in OBC category wheather you will get the NITs or not please check the link for NIT as below apart from the rank also check you might even get JEE advance elegibility

To calculate you rank you can use the formulae given below - 

Rank=(total number of students -(percentile*0.01*number of students))

Where total number of students who appeared for the examination is 9.65 lakhs

link for cut off

https://engineering.careers360.com/articles/jee-main-cutoff

for jee advance

https://engineering.careers360.com/articles/jee-advanced-eligibility-criteria

regards