The manufacturing isn't calculated in whole numbers.  The govern window rounds up and down, which often makes the numbers appear to not add up.  Ultimately, they do add up. For example, if your total is 9.5, it would say "10." Then you could have a situation like, social is 2.6 social and 6.9 military, and you slide it to 2.4 social and 7.1 military.  It would first say "3" and "7" but then change to "2" and "7" because you're not working with the whole 10 to begin with.

The decimal points are calculated but not displayed.  This prevents losing a whole point due to rounding.  At most you can lose a tenth of a point or a hundredth depending on the decimal points they invisibly carry.  Given what I see in the growth tooltips, it is possible they track thousandths.  I don't need to see all those decimal places to have confidence that they give better accuracy.