The seats which have just been up for grabs were last fought in 2012. In those elections Labour gained 823 councillors, the Tories lost 405

https://en.wikipedia.org/wiki/United_Kingdom_local_elections,_2012

On Thursday, Labour retained 800 of those gains (dropping just 23) , the Tories augmented their losses to the tune of 46.

http://www.bbc.com/news/election/2016/councils

The big story is that it has been a disaster for the Tories, a huge rejection less than a year after their FPP twisted "victory" last June. They have consolidated huge losses and indeed increased them a bit.

The idea that labour ought to have made huge gains was always ridiculous, the Tories took such a battering last time there was a diminishing amount to be gained at all, and Mr Corbyn has certainly not given them an opening to recover - the form is now in the book.

Considering the magnitude of what he has taken on - effectively the binning of all the Establishment dogma which has fuelled inequality and economic failure in the UK - and the fact that Labour haven't even finished their policy review yet let alone put forward a manifesto on which to fight, its an astonishing performance given that every single media outlet in the country has been working overtime to assassinate his character and misrepresent him as "hard left" when he merely represents middle of the road social democracy of the type seen in most of Europe.

So good news for Khan and Labour throughout the country apart from Scotland, which is not going to return to the fold until there is more confidence that the Tories will be gone; if that does not happen Independence is a certainty probably sooner rather than later.