当てにするもの
something one expects
(約束なら)to rely upon one or one's promise―(物なら)―expect―lay one's account with―something―(結果なら)―expect―wait for―look for―count upon―calculate upon―reckon upon―lay one's account with―some event.
to depend on something on the basis of an event
有利にする
a case in which something should be done
Which means...
行き当たること
割り当てること
課せられること
the condition of having something assigned to one
付けること
There's something called...
包むこと
徴集すること
従わせること
とらわれること