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Originally Posted by Vanilla
Then as far as I remember precision percentage increases exponentialy with range decreasing, doesn't it? So 2-3 km give what 70%?
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Not really. Remember the other number - 12% for all shooting inside 5 miles. Even at close range hitting was not guaranteed. I've seen a photograph of and American destroyer shooting at a sampan. Both were in the picture, so the range was probably about 500 yards, and there were three splashes in the picture, which indicates that only two of the five shells fired actually hit the target. And all five were fired in salvo with a gun director and sophisticated rangefinder!
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many of naval guns aren't rifled
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Not true. All naval guns have been rifled since the 1890s.
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Another example is Tiger tank - its gun was precise up to 3km (Wiki: Tigers were reported to have knocked out enemy tanks at ranges greater than 2.5 miles (4,000 m)), standard range to hit a tank with a first shot was 1.5km.
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"Reported to" is not enough. Specific evidence or it's just talk.
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I don't think naval guns are that much different.
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Reread Padfield's comparison. One degree of roll means an elevation deviation of 17.445 meters for every kilometer distant, which makes it very easy to be long or short. Remember that submarines and merchant ships have no fire-control equipment at all.