This study consists of 2-parts. Part 1 is a double-blind, randomized study in which participants were randomized 1:1, in a blinded fashion, into 2 TAK-755 dose groups. Part 1, randomization was stratified based on whether the participant had received pre-study PEX and on the participant's Glasgow Coma Scale. Part 2 is an open-label study in which participants with iTTP experiencing an acute iTTP episode will be enrolled and assigned to a single-arm treatment.