factor in takeoff and climb - that 8% number will be relevant at cruise, 20,000 feet, 20 miles within site of a runway. Your weight calculations are close, maybe a tad optimistic but more consideration is needed.
Again, that data is not finite and varies with density altitude. I think you'll also find that a "standard day" is not very common....
I think the idea is that you TO at a higher weight and burn fuel until you get to 38000ft then head for the field.
A standard day is probably more common in northern Europe at night.