It is a little more complicated.
Your example shows zero income. Actually, you are allowed some income before SS becomes taxable.
https://www.ssa.gov/faqs/en/questions/KA-02471.html
12%: $11,926 to $48,475
22%: $48,476 to $103,350
24%: $103,351 to $197,300
24% of $12K is $2880 … that’s enough to cover my utilities for the year.