Qualitative attributes like strong, weak, very weak, very very weak have no widely accepted agreement/definition what it exactly means quantitatively. As consequence, different sources may give different boundaries between them, otherwise situation for acids and bases would be symmetric.
In context of water solutions, acids have the characteristic acidity parameter $\mathrm{p}K_\mathrm{a}$. It is equal to $\mathrm{pH}$ when $\pu{50 \%}$ of the acid is dissociated.
Mutual reactions of acids with bases have to be assessed in sense what $\mathrm{pH}$ wrt the acid $\mathrm{p}K_\mathrm{a}$ is set by the base excess.
| $\mathrm{pH}$ | % of acid dissociation |
|---|---|
| $\mathrm{p}K_\mathrm{a} - 3$ | $\approx 0.1\ \%\ (\frac{1}{1001})$ |
| $\mathrm{p}K_\mathrm{a} - 2$ | $\approx 1\ \%\ (\frac{1}{101})$ |
| $\mathrm{p}K_\mathrm{a} - 1$ | $\approx 9\ \%\ (\frac{1}{11})$ |
| $\mathrm{p}K_\mathrm{a}$ | $50\ \%\ (\frac{1}{1001})$ |
| $\mathrm{p}K_\mathrm{a} + 1$ | $\approx 89\ \%\ (\frac{10}{11})$ |
| $\mathrm{p}K_\mathrm{a} + 2$ | $\approx 99\ \%\ (\frac{100}{101})$ |
| $\mathrm{p}K_\mathrm{a} + 3$ | $\approx 99.1\ \%\ (\frac{1000}{1001})$ |