Lead Acid Battery Storage Efficiency
70% for charge/discharge cycle - http://electronics.stackexchange.com/questions/153517/what-is-the-charge-discharge-watt-hour-wh-efficiency-for-lead-acid-batteries-a
This does not include inverter losses. For the Seed Eco-Home 2016 build, the inverter is 90-94% efficient - [1].
That means that going through batteries and inverter loses 35% of the energy.