In the rest of the world 220 is single phase and is generated to be 220. In the US 220 comes together as two 110v lines. Don't ask, I really don't understand it.
It's actually really simple.... in concept at least..
There's some was here... there's also some that use solid state foo now but lets stick with the easy version and yes I'm simplifying somewhat don't come at me... Anyway..
The way the high voltage from the power company is converted into low voltage 240v is there is basically a coil that is on the high voltage side and a coil on the low voltage side. Induction transfers power between them and the ratio of the number of coils on the high side vs the low side determines the voltage drop. The coils are sized for whatever the expected output voltage is in relation to the expected input voltage.
The two "hot" legs have a 240v (nominal) differential and are tapped at the top and bottom of the low side coil. In the US there's another tap in the center of the low side coil (the "neutral").. which means there are half as many windings between it and each end.. and thus half the voltage between that neutral tap and either leg or 120v.
This is relevant because the 240/220->100/110v transformer works the same way. Automation direct has a nice explanation with pretty pictures as well:
https://cdn.automationdirect.com/st...-pdf/TX-Transformers-and-Filters-Overview.pdf
To your amps question, yes ignoring power factor .. 2000 / 220v = roughly 9amps. I'm ignoring power factor but it would be useful to sum up all of the expected loads and check that because you might actually be drawing more than 9 amps (at a PF of 40% which isn't unbelievable more like 22a...). Using a ammeter to measure real load might be useful..
Whether that's sufficient depends on where you put it..
I believe the JBK5-2000VA you referenced above is ONLY feeding the 100v steppers? In that case you need like 10a for the transformer unit if you replace that or put the 240v-220v transformer immediately before that step down transformer. You have the option of just replacing that OR putting a 240-220v transformer in front of the whole machine (which might? make some other components that want 220v happier.. maybe.. I mean nothing else has exploded yet..) in which case you'd need something to accommodate the draw for the whole machine (assuming the spindle, etc.. is also driven off of that? I have no idea how this is actually wired..). Putting a step down transformer before the steppers is likely by far the cheapest solution...
Something like
https://www.larsonelectronics.com/p...40v-primary-220v-secondary-22-94-amps-50-60hz would probably work and has more than enough slop in capacity for there being any power factor issues.
Darrens point on the 50hz vs 60hz is also worth considering. Things designed to run at 50hz run faster and maybe a little hotter at 60hz.. which could plausibly lead to earlier failure as well.
Ditto on the suggestion to see if you can get the existing adjusted..the docs on the JBK5 series are thin.. but I found one that suggested some of them offer a -5% tap point which would put your output at 114v.. IF the one you have offers that (not all do? I don't think? ) it might just be as easy as moving a connector inside the case.. (that's probably wishful thinking.. but they are pretty simple devices).