I thought the question was how to test a battery? I think we can assume lead acid, and in a scooter likely AGM, so only way is to read voltage. Either as it stands, or during a discharge or the recovery after a discharge.
The discharge methods depend on the load given, so no real set of voltages to fit all. A battery on a 'smart' charger will in the main be charged when it drops below 12.8 and stops charging at 14.4 volt, so for a 12 volt battery 12.8 volt is when off charger fully charged, although we would expect it to be below that, at 7.4 volt my charger will not charge it, it sees it as a 6 volt battery.
So a chart will likely show 12.50 as 80%, 12.30 as 70%, 12.15 as 60%, 12.05 as 50%, and it continues to 10.50 volts at 0% however the volts do depend on load, condition of battery, and temperature, a car battery under 12 volt no load one can expect it not to start, but a scooter battery (traction AGM) it will likely drive the scooter until down to around 11.5 volt. The gel battery will fail at a slightly higher voltage, and the lithium battery will be damaged if cells go further than a set voltage so they need a battery management system to both stop over discharge and over charge.
My mobility scooter has a suppressed zero voltmeter, I would guess it reads 18 - 30 volt, not tested it, and you will see the volts vary due to load/incline being attempted, I am unaware of any under voltage cut off. It may be OK with an e-bike, but with a mobility scooter one should not be using it unless disabled, and if you are crawling back at 1 MPH is better than being left stranded.
I have found disablement shops where you can buy batteries zero VAT are so much more expensive to a battery retailer that it is still better to buy from a battery retailer. £98.99 for 34 AH Ableworld and £72.19 Tanya both the Lucas so can compare. (£65.44 - £149.56) depending on make.
The big problem is getting the battery, clearly you can't sign a declaration that it is being used for a disabled person if distance buying. If last year I wanted to use the mobility scooter due to being lazy and I don't want to walk, one not permitted except for testing, and two I could not claim VAT exemption, now with a disablement parking plaque I can show I am using the scooter for my disablement, I was disabled last year, and classed as 20% disabled, but that is because of damage to my hand, not my legs. But to get zero VAT I need to sign to say I am disabled, it is not up to Ableworld or anyone else to assess me, so if not being used for my disablement it is me who is breaking the law, not Ableworld.