Complex sentence: Tunney was known worldwide for his appearances on World Wrestling Federation television as the promotion's figurehead President, suspending wrestlers, stripping them of titles and ordering matches, during the company's initial worldwide popularity boom in the 1980s the peaking days of Hulkamania.
Split into simpler sentences: Tunney was known worldwide for his appearances on World Wrestling Federation television as the promotion's figurehead President, suspending wrestlers, stripping them of titles, and ordering matches. This was during the company's initial worldwide popularity boom in the 1980s, the peaking days of Hulkamania.