"Percent" or "percentage point" when rounding?

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When rounding a percentage, is it preferable to use "to the nearest percent" or "to the nearest percentage point"? Does this change if we want to round to the nearest, say, 10 percent/percentage points? I've seen both used, and the meaning is generally clear either way, but is there any benefit to using one over the other?

My initial thought is that percentage point should be reserved specifically for referring to a difference in percents, so "Rounded to the nearest percentage point, 5.1% exceeds 3.5% by 2 percentage points.", but "Rounded to the nearest percent, 5.1% is 5%."

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