Fortum, a Finnish clean energy firm (correction provided by @Sharlin), has reached an 80% recycling rate as of 2019 [2].
It's always going to be cheaper to pour end of life cells into a remanufacturing process than to extract raw lithium from brine ponds, so it makes economic sense to do the R&D to do so. It's also going to be cheaper to reuse existing, functioning cell modules (such as folks harvesting cell packs from Teslas and other EVs for stationary storage) than to landfill or recycle those materials.
Batteries are mostly recyclable currently, full stop, although there is work required to make them 100% recyclable.
[1] https://www.redwoodmaterials.com/
[2] https://www.pv-magazine.com/2019/03/25/innovation-boosts-lit...