So, I was looking at the percentage of votes and the delegates earned in three of the states so far in this election cycle. I'll use the democrats as an example, since there are fewer to compare.

Iowa (44 delegates):
           vote %    precise    awarded
Clinton    49.6%     21.956     23
Sanders    49.4%     21.824     21

New Hampshire (24 delegates):
           vote %    precise    awarded
Clinton    38.0%      9.120     9
Sanders    60.4%     14.496     15

Nevada (35 delegates):
           vote %    precise    awarded
Clinton    52.6%     18.410     19
Sanders    47.3%     16.555     15

So what precise formula leads to these being the number of delegates awarded?

A few things that I would expect an answer to explain are:

• Is the delegate count specifically altered in the winning candidates favor if the rounding leads to a tie?
• Is the winners delegate count always rounded up, even if their precise delegate count calculation comes out to X.01?

(p.s. I tried to make a new tag for delegates, but it would not let me because I do not have 150 rep on this site currently.)