The numbers I usually see is that interceptors work 50 to 75% of the time.

I don't know where you're seeing those numbers but they're not really based on reality.

And as for the 3%, it looks at available footage and looks at how many were intercepted in available footage, but I'm not sure if it counts every video or only videos with AA working. Either way the numbers are pretty low and anything above 15-20% interception in cases where AA is present looks impossible from the video evidence I have seen, and since AA isn't always present, overall interception rate would be much lower. Although that's for terminal interception, as high altitude inteception rates might be better, but there's less evidence either way of it.

You don’t shoot the same number of interceptors as your enemy shoots missiles

Yes, but it's actually because the empire's doctrine works around two interceptor per incoming missile that might hit something reasonably expensive for maximum wealth transfer. And considering the ammount and quality of hits we see coming from Iranian missiles I would expect that every 100 Iranian missiles coming down the empire would have to use at least 160+ interceptors if it followed it's own doctrine, but although we will sometimes see the number of interceptors outnumber the number of Iranian missiles even 3 or 4 to 1 when there are few Iranian missiles, the ratio is lower than 1 to 1 for larger barrages.

And that's without getting into the thing about multiple warhead missiles that can release 50+ or 80+ warheads, I forgot exactly how many, at a target from very high up, before interceptors were launched, meaning the empire would need at least 100/150+ interceptors in such cases.

You try to intercept a small number of them that might hit important targets

A huge percentage of Iranian missiles seem to hit important targets, so that doesn't really matter here.

I could easily see a reality where for every 100 missiles/drones that Iran shoots, the Zionists or Americans only shoot 3 interceptors in response.

That's one of the furthest things from reality I've heard in months.

I don't think even the Ukraine regime would be saying numbers that far from the truth. wow...