Preamp and Amp how much influence each contributes?

@kfz03110 if you're not sure about your speakers yet or if you go through speakers more frequently than your other components, it would probably be wiser to allocate higher priority to your amplifier budget in order to get an amplifier that will be capable of driving harder speaker loads.

In other words, if you change your speakers you might find your existing amplifier isn't driving them to their full potential. But that wouldn't be the case for the preamplifier which would either still be paired with the same amplifier or paired with a different amplifier which is still likely to have a high enough input impedance.

(That's all ignoring the question of sound character.)

since running a pre / power amp combo for the first time the sound quality is noticeably a little better compared to my very good integrated amp-  slightly better transparency.  
what really blows me away is the massive increase in jump factor dynamics and separation of instruments- especially using balanced connections.  
the difference is spectacular and highly recommended.  

I don’t think it makes much sense to discuss which component has more or less importance or impact.  As others have said, it’s a system and every component is critical.  That said, in my system I hear bigger differences between preamps than amps, and I did end up spending more on my preamp than my amp.  But my speakers are relatively highly efficient, and my guess is that has something to do with why amps don’t sound as dramatically different compared to preamps in my particular system.  If I had less efficient speakers or a different system my spending could’ve been completely opposite, which is why I don’t think there’s much point to making general conclusions on what’s more or less important.  

And as far as sacrificing quality with an integrated, I don’t buy that.  There are advantages and disadvantages both ways and depends more on parts quality and how well the amp is designed.  Again, blanket statements that one or the other is superior is pointless and decisions need to be made on a case-by-case basis IMHO.