According to HMRC (pdf link), there are:
2,560,000 taxpayers in Scotland (about 48% of total population)
289000 higher rate taxpayers in Scotland (about 5.5% of total population)
24,800,000 taxpayers in England (about 46.7% of total population)
3,300,000 higher rate taxpayers in England (6.2% of total population)
*looking at the figures for 2012/2013
These are obviously figures on a per-capita basis and i dont have per household figures. But i suspect that if your 13% figure is correct, then England has a similar percentage.
The source is the ons study entitled 'effect of taxation and benefit on household income' and England does not have a similar percentage, the English rate is in the 45% range, still not great given that it is a net taxation (eg taxation in vs benefits out) figure, but nowhere near as bad as north of the border... and of course it gets worse when you factor in that state paid workers don't contribute at all to the tax take due to the recycling of money...



I'm confused by your logic.