other things being equal

(all) other things (being) equal
all else (being) equal
(if everything happens as you expect it to happen; if in all other ways two situations are the same or similar) — при прочих равных (условиях)

All things being equal, I should be back by Friday. — Если ничего не произойдет, я должен вернуться к пятнице.

All other things being equal, a professor can get higher ratings from students by giving higher grades. — При прочих равных условиях преподаватель может получить более высокий рейтинг, если завышает оценки.

All things being equal, children are better off having both a mother and father in the home. — При прочих равных условиях дети лучше развиваются, если в семье есть и мать, и отец.

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(Most freq form is "all other things being equal")

Ceteris paribus or caeteris paribus is a Latin phrase, literally translated as "with other things the same," or "all other things being equal or held constant." It is an example of an ablative absolute and is commonly rendered in English as "all other things being equal." A prediction, or a statement about causal or logical connections between two states of affairs, is qualified by ceteris paribus in order to acknowledge, and to rule out, the possibility of other factors that could override the relationship between the antecedent and the consequent. (Wikipedia)