@highaccuser: @kangconquers: @comicstooge: Allow me to clear up some confusion here.
Post-Crisis Mongul Sr. on his best day had strength to rival a post-death Superman. When him and Superman first fought, he utterly destroyed the Man of Steel as he had gone a while without contact with a sun; however, Superman himself believed that even at his prime he would not be able to match the Warlord. Unfortunately this was a the beginning of Mongul's jobbing as not long after Superman and Mongul had a rematch and despite Mongul tanking superman's blows and pretty much being annoyed by him, Superman then suddenly musters the rest of his strength to knock Mongul out...Okay. He then went on to be Cyborg Superman's servant/second in command and lost to Hal Jordan after Jordan used Steel's hammer. (Though it should be noted that Mongul stomped the sh*t out of him first). Mongul would then bounce back, having his best showing against Superman in a long time when he fought not only him, but also Kyle Rayner.
Mongul Jr. had superior strength to his father and Superman (at the time of their meeting and training) He tanked all of Superman's attacks like they were nothing; however, after the intense training, Superman had achieved his full potential putting him beyond Mongul Jr. Mongul Jr would then suffer from what befell his father...Jobbing. Superman would occasionally beat him so easily as if the writer forgot who the character was. Though despite this Mongul still had enough strength to one-shot Wonder Woman and even rock Superman when written correctly. In fact Superman still considered Mongul to be one of the strongest opponents he had ever faced. Jr would go on to face Hal Jordan. Prior this battle Hal had achieved the ability to damage anything yellow. Mongul was unaware of this and ripped his own armor off, exposing his yellow skin, as he believed Hal could not hurt him. This would cost Mongul the first round as Hal then impaled Mongul numerous times with sharp constructs. In the next issue which follows immediately after, Mongul would fight back, stepping up his game, forcing Hal to BFR him. After this Mongul would become an unofficial Sinestro Corps member. After murdering several Yellow Lanterns, he obtained a ring for each finger. This would allow him to hold the advantage in a battle against 10 veteran GL's, and nearly kill Sinestro himself.
Pre-Crisis Mongul is the most powerful version of the character to date. He has defeated Superman (more then once), Martian Manhunter, Wonder Woman (very easily), Starman (even easier), and the Justice League. He also took on the combined efforts of Superman and the Legion of Superheroes, during which he easily broke out of the hardest material in the DCU.
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