It's a juggling act. You have a desired aperture you want to shoot. You have the distance of the subject from the background. You have the level the background lights must be at in order to achieve pure white, and that is based on the taking aperture.
If the subject is 6 feet from a white background and you want to shoot at f/8 then then means you're looking for a reflective value of f/32 from the background. This requires that the background lights be powerful enough to produce an even f/32 on your background. Assuming you're reading f/32 across the background, you now have to look at the incident reading at the back of your subject. Keep in mind that standing in front of a giant white reflector will return quite a bit of light back to the subject area. If it's more than about 1 stop under the incident taking aperture then you're going to start to see wrap, halo's, ghosting and potential flare.
So now, assuming you can't increase the distance from subject to background, this means you must decrease the power of the background lights. Lets say you pull back by 2 stops to eliminate all signs of wrap. That means that the reflective reading from the background will now be f/16 and this also means that your taking aperture now becomes f/4.
So what if f/4 is too shallow? What if there is a group and f/4 just wont give you a sharp image from front to back and left to right?
You see there are limitations and there is a bit of juggling involved to make it all work. If you've got a large space then 200 Watt seconds is not going to be enough, especially when you're shooting at f/11.
As a point of reference, I have a fairly small studio and when I shoot on pure white my background lights (left and right) are about 4 feet from the background and the subject is about 6 to 8 feet from the background.
If I shoot at f/11 that means my background lights are going to read f/45 reflective. Using a 600 Watt second strobe, I'm still at or under 1/4 power, which translates to 150 Watt seconds.
So, in a small to mid sized studio, a pair of 200 Watt second lights will work. Once the size of the room increases and the distances change, 200 Watt seconds becomes questionable.