Generally you can guess the conversion by comparing ranges of bonuses gained at different levels in both editions. This works for anything, not just skills.
Skill DCs:
* PF1 bonuses: +0..+23
* PF2 bonuses: +0..+28
* DC conversion: DC₂ₑ = 10 + (DC₁ₑ − 10)×28/23 ~= 10 + (DC₁ₑ − 10)×1.22
Save DCs (purely from bonuses, so this is against effects that are not based on opponents level, e.g. environment effects, hazards, etc):
* PF1 bonuses: +0..+12
* PF2 bonuses: +0..+28
* DC conversion: DC₂ₑ = 10 + (DC₁ₑ − 10)×28/12 ~= 10 + (DC₁ₑ − 10)×2.33
Save DCs (based on DC formulas in both versions, so this are DCs against effects based on opponent level, e.g. creature ability DCs):
* PF1 bonuses: +0..+10 (half the level)
* PF2 bonuses: +3..+28 (full level and trained-legendary proficiencies)
* DC conversion: DC₂ₑ = 10 + 3 + (DC₁ₑ − 10)×(28−3)/10 = 13 + (DC₁ₑ − 10)×2.5
Last formula can also be used to convert AC values of monsters:
AC₂ₑ = 13 + (AC₁ₑ − 10)×2.5
And can be adapted to convert Save bonuses of monsters:
* If PF1 value is 4 or greater: SaveBonus₂ₑ= 2 + (SaveBonus₁ₑ − 2.5)×2.5 [mathematical rounding]
* If PF1 value is 1–3: SaveBonus₂ₑ=SaveBonus₁ₑ
P.S. This all works correctly for DCs/ACs that are greater than or equal to 10