Shonen Jump manga.

"First published in Japan in 2014 by SHUEISHA Inc., Tokyo."

Midoriya inherits the superpower of the world's greatest hero, but greatness won't come easy. What would the world be like if 80 percent of the population manifested superpowers called Quirks? Heroes and villains would be battling it out everywhere! Being a hero would mean learning to use your power, but where would you go to study? The Hero Academy of course! But what would you do if you were one of the 20 percent who were born Quirkless? Midoriya is in the fight of his life--an all-out battle with Overhaul, who has unleashed all of his terrifying power. Midoriya is matching it with his own power, pushing One For All to 100 percent. Only by relying on Eri's restoration Quirk can he hope to take down Overhaul. If Midoriya manages to walk away from this fight, his life will never be the same again

Rated T for teen