Scaling Naruto’s speed
I can’t scale Naruto’s movement speed cause he never really showed anything quantifiable other than traveling across continents in hours with kcm1.
As for reaction and combat speed:
kcm1 teen Naruto was already fast enough that he was capable of blitzing the 4th AY with his top speed and crossed a massive distance compared to the few inches the 4th travelled, he wasn’t able to pass first 2 times but it’s because of the walls and the fact he isnt used to the power yet, idk about you but thats at least relativistic+ which is still too little considering the distance, the only reason Naruto struggled in the beginning was because he was still getting used to kcm1, later on we see him bumping into a wall because he was still new to the power. Not to mention Naruto himself admitted that toad sage mode provided better reaction speeds, so kcm1 moves faster but sage mode has less delay.
Kcm2 is easily stronger cause it has the full half of kurama, so thats FTL, on top of that is toad sage mode which is at least 30x base form considering the fact that CM2 was stated as a 10X for everything, and toad sage mode is a more perfected version, base form kid sasuke was stronger than base kid Naruto, and sasuke had a stronger CM2 version, so thats well above 10x for one tails Naruto, toad sage mode is relative to somewhere between 4 and 6 tails Naruto, and increase is tails is exponential increase in power, toad sage mode is easily 30x base as an extreme lowball. And BSM is basically kcm2 and toad sage mode stacked.
Then we have teen 6psm + kcm Naruto dodging madara light fangs point blank and even moved his entire body or at least torso, Naruto easily dodged it, and he was mid air, and he needed to accelerate off something aka his TSO rods, so no he didn’t barely dodge, he showed 0 signs of barely dodging, in fact even after that dodge he was shown dodging a flying sword immediately, and 6psm Naruto is basically 6psm + kcm, people don’t seem to know this for some reason especially those who don’t watch the show, 6psm + kcm is basically 6psm and kcm2 stacked. 6psm kcm Naruto is easily FTL+ or higher.
So if you do some simple maths though it’s dogshit idea imo but why not:
Let toad sage mode = 30x
Let kcm2 = toad sage mode (as a lowball)
Let 6psm = BSM (as a lowball)
BSM = kcm2 * toad sage mode = 30^2
6psm + kcm = BSM * kcm2 = 30^3
Thats 27000x base form at least.
This is dogshit though you can ignore it.
But if we look at the adult version, he is even faster, cause you see fused momo blitzed darui from a distance, Darui was able to keep up with the 4th in his lightning release chakra mode and coordinate with him almost like an equal, also in the data books his laser circus are described as light beams, and he is able to coordinate them and guide them like a pro mid battle, so if you think the light beams are light speed then easily Darui is relativistic.
But fused momo also bypassed Gaara’s automatics and defences, and his sands blocked the full power speed of the 4th AY aka near light speed, and since the speed is tied to his growth those automatic defences should be faster, and fused momo perception blitzed those automatic sand defences from point blank easily, which should easily scale him to relativistic+ and the only reason he was caught beforehand is due to the distance he travelled to get to Gaara, this doesn’t take into account the fact all kage weren’t in their prime or even close in shupiden so logically they would get stronger with training, so relativistic+ is a safe range for fused momo.
And an exhausted Naruto was almost on par with him at that point in the manga for an extended period compared to the other kage, you can argue momo wasn’t locked in but he was obviously getting more locked in throughout the battle meaning his attacks on Naruto would have been faster mid battle, meaning adult base Naruto while healthy is comfortably in the relativistic+ to FTL range considering his exhausted state tanked an amped beast bomb, then endured hours of torture and had half of his reserves extracted, which we know from shupiden leaves a jinchuriki in immense fatigue let alone half of the full kurama.
And if you add multipliers 6psm Naruto as an adult should logically be FTL+ to MFTL at least, and in baryon mode it’s even faster.
So to ramp it all up:
6psm teen Naruto if FTL+ or higher
Base form adult Naruto is relativistic+ to FTL or higher
Toad sage mode adult Naruto is FTL+ or higher
6psm adult Naruto is MFTL or higher
Baryon mode is MFTL++ or higher (in the anime even faster)