Why Prinz Eugen found Hood's range so quickly

How did Prinz Eugen get the range on HMS Hood so quickly at the Battle of the Denmark Strait?

Very good officers and directors were helped by a large measure of luck.

The German gunnery team and fire-control directors performed well, but the result should not be treated as inevitable. Repeating the same engagement many times would rarely produce so rapid a range solution. Professional competence was amplified by battlefield chance. A single unusually favorable combat result is a poor basis for judging equipment as automatically superior.