early game--very weak mid game--monster late game--about average

also k'sante is one of the strongest if not he strongest champ with 1 item and your power rises extremely fast with every armor or mr component

up to level 3 you are propably one of the weakest champs in the game, level 1 being by far the worst and because of it you will find yourself getting zoned from minions in a lot of your games especially when playing vs these early game power houses like sett or darius in these games your goal is to just dont die and wait for wave to crash into your tower while farming with your q max range whenever he lets you but dw it ispropably the roughest time for k'sante if you manage to not die and recall with like a chainvest or whatever epic component you become significantly stronger and can actually fight back way more and even try to go for solokills if they missplay and let you flip them with q3 and then w backwards into turret range or if they missmanage they cooldowns. At level 6 you become real threat to most champs in lane with high burst and w cd reset + r stats + q cd reduction a lot of champs will not be able to kill you anymore but you will be able to do so. and remember it is time when you inda want to look for fights in river. big part of you having ult up is a constant threat of you just ulting them through the wall from river or by fliping them under turret. After 1 item you can statckeck a lot of these champions anyway. When it comes to matchups you win early is just like with any other champ PUNISH them early most of them outscale you so you have to get a significant lead in lane , with k'sante gap close potential you can do it pretty good i'd say especially if they get baited easly. If you have your abilities up you can try to bait them by walking decently far away from dying minion and when they try to last hit dash to it with e and force a trade with your w it also works vs ranged if thay walk too close to the minions while trying to poke you. If you have significant gold lead and your snowballing or you have made some really good trades earlier and have big health advantage you can easly dive enemy laner with w'ing them int the wall after knocking them up with q3(or not if they have bad positioning) and then ulting them though the wall into river when you can kill him easly. Also k'sante have good gank setup so make sure to play with ur jugler often. After 6 you become hardly gankable not only you have 4 dashes in 2 seconds on demand w>r>w>e what makes you escape ganks easly you also have a threat of w'ing one of the enemies (or both) into wall and river and ulting them towards safety (turret) potentialy burning enemy flash or getting a kill

this is where you are the strongest and you need to expand your lead and put your team ahead (ofc games that you are stomping, 10/0+ and unkillable not included)

if your team is winning:
you have to recognize your team wincondition , fed jinx for example and peel for her , as well as enemy team wincondition and try to make him be unable to carry, by zoning him from teamfight, try to catch him before the fight or on the side and dont let him expand his lead by killing tier 2 towers for example. in most games by this point you should
A. outscale B. get ahead C. loselane
in both A and B cases play to make others useless and expand your and your team lead by constantly pushing and roaming or by killing turrets, its worth pointing out that k'sante is NOT a good spiltpusher pushing without voidgrubs is miserable and if you dont have iceborn additionaly it is almost pointless just push waves zone the enemy roam, invade enemy and try to pick somebody overextending or force fights. remember ur trying more to feed your teamates rather than getting more fed yourself.

if C is true and you lose and you lost it so hard that you cant outscale anymore then as baus once said you have to be the playmaker. Even when behind k'sante has some mobility and pick potential (he isnt as good in picks as some other champs but can still do it) sometimes look to sacrifice a tower or two for a winning teamfight and a objective and try to stop enemy that just now got 3 kills in gold from turrets that you gave him from making too much of a diffrence, so i'd recomend this strat if you are completeley out of option and have no other option or / and if you are confident your team or you can win even with this enemy fed. Other options are generaly playing with your team most commonly jungler, peel for carries and be CARRY-ABLE , you have to play k'sante with the idea of being carried by your team as your main goal, let them carry you (part of monk mental). I forgot to tell you what to do if you lost / cant fight cuz you lose then you just have to heroicaly do nothing, wave clear and call for junglers or smb help oh and dont gekilled (optionally) gl.

at this point you have to embrace your inner support even more you cant solo carry through this game stage and if you have useless team you are doomed. you still can go for picks and duels but in teamfights you are no longer