you have secured 116 marks in JEE Main paper, you rank would be approximately in between 44000 to 49000.  Also, Above is the range of your possible rank. The predicted rank may vary due to JEE Main tie breaker rules for the same score. So, according to rank your percentile would be approx in between 94.00 to 96.00.

If you have secured this rank you have a chance to get theses colleges:

NIT Agartala

NIFT Ranchi

Mizroram University

SMVDU Jammu

GGU Bilaspur

Pondicherry engineering college

These are the college you will get if you have scored these marks.