Sheik CG escape percents:

82% - Lower port
90% - Higher port

Platforms:

YS - 0% on flat part of stage, 20% if grabbed at the ledge
BF - 44%
DL - 86%
PS - 14%
FoD - 0% all heights besides max, 20% max height
Note that these are before a fresh throw - Add 8% for post-throw.