A formula is arithmetic done on particular materials. If your manure holds less nitrogen than the manure it was written for, the same weights give a weaker mix, the heap heats poorly and moulds that live on carbohydrate move in. If it holds more, nitrogen escapes as ammonia and yellow moulds follow.
Size matters too. DMR warns against composting less than 300 kg of base material, because a smaller pile cannot hold the temperature it needs. Keep a lot record so next season you can explain a good batch and a bad one.