In addition to the answer above, the KDA it self doesn't make the difference, the relation between how much kills there was and how many you was participating is crucial.
For example. i got as support with a score 0/2/5 C+ one game, and other game i got with 0/6/10 A+. The reason was that i was all the deaths of my team in the first game.
For support i know that you need something like 75% assist from all your team kills for a S+.
If you want to get S strongly, you should try play ranked in the mode that you are lower elo, for example. If you gold on solo and silver on flex, play flex, it will give you more opportunity to win a S, and try to get krubs or raptors over the mid/late game when you can't farm to make your CS high.
Last thing, remember that your score is compared to the same average champion in the same lane you play.
KDA isn't the most integral part of getting an S-, S, S+. Those scores are determined by gold over time, CS per minute, KDA, Control Wards placed and wards destroyed. You will almost always get an S if you have at least 7.5CS/min and a positive KDA. Obviously it helps to have a KDA of 12/2/6 rather than 12/10/6, but both of those with 7.5CS/min should get you an S as long as you're warding regularly. Hope that helps.
For example. i got as support with a score 0/2/5 C+ one game, and other game i got with 0/6/10 A+. The reason was that i was all the deaths of my team in the first game.
For support i know that you need something like 75% assist from all your team kills for a S+.
If you want to get S strongly, you should try play ranked in the mode that you are lower elo, for example. If you gold on solo and silver on flex, play flex, it will give you more opportunity to win a S, and try to get krubs or raptors over the mid/late game when you can't farm to make your CS high.
Last thing, remember that your score is compared to the same average champion in the same lane you play.
seriously now, not just KDA matter, is important to have and a decent CS to get a S.