How to calculate runner outs?

hello. I am wondering if I am calculating right for runner outs
My opponent had AcKs
I had 6s6d

Flop come out Kh6c7c

I was 94.444% favorite while my opponent was 5.556% favorite.

This is how I calculated the outs.

Since he can hit any clubs except King to make a flush, which is 9 outs from the flop, I calculated
9/45 x 8/44 = = 72/1980 = 3.636%

Here are running outs for making higher full houses

And then if he hits any King, he can hit 3 7s, last King, and 3 Aces, so I calculated
2/45 x 7/44 = 14/1980 = 0.70707070707070%

And then if he hits any 7, then he can hit another 7, or 2 Kings, so I calculated
3/45 x 4/44 = 12/1980 = 0.606060606060%

And then if he hits any Aces, then he can Another Ace or another King, which is
3/45 x 4/44 = 12/1980 = 0.606060606060%

Adding all of them up would be 110/1980 = 5.55%

Is this original correct way of calculating runner outs or is there simpler better method(besides using pokerstove or program)? I meant this as in calculating with calculator and pencil using fractions and percentages.

When would you ever have a practical use for this (other than for self pity when you lose to a backdoor flush that had no other outs)? If you want to know how to adjust for your equity before calling an all in or soemthing, then a backdoor flush happens like 3% of the time and backdoor boats like 2% and backdoor straights between like 1.5-5% of the time depending on board.

You are better off just learning them if you want to know by messing around with some software, but it is moreorless useless and adding one out to your equity when you have some sort of backdoor draw would suffice, cept in the case of a backdoor boat since if you have to make a boat from one pair to win then you are ****ed.

it isnt useless. sometimes that 8% equity extra you have in a multiway pot from 2 backdoor draws can be reason to get tons of money in the pot.

All you need to know about calculating the odds are fractions. Lets
say you need a flush to beat your opponents straight. If thats the
case, and after the flopp you need 1 more flush card, you do the following.
There are 10 cards left of the same suite in the deck which will ultimately
give you the flush if they catch. there are so far 5 cards revealed to you,
yours and the flop, which leaves 47 cards left. Now for the turn, there
is 10/47 chance of you catching, and if you miss, a 10/46 on the river.
You add those two fractions, and convert them to percentages, which
should give you some what less than 50%. Thats all you need to know
to be able to do all the other calculations in poker .