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A ratio uses division to compare two quantities.
Division
ratio
Rate is a comparison based on division.
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A quotient is the answer to a division problem. For example, the quotient of 15/5 is 3.
For the division of quantities
that would be the division symbol
First the units of the two quantities should have the same category, e.g length units, or mass units, etc. Second: to convert the unit of one quantity to the same unit of the another quantity. third: to perform the comparison.
If the symbol "per" is used in an equation, it typically denotes division or the ratio of two quantities. You would then perform the division or compare the ratios as indicated in the equation.
That's a rate, or more commonly, a ratio.
Division in mathematics is the inverse of multiplication. It involves the breaking down of a single set into separate smaller sets. It is finding how many times one quantity is contained in another or the ratio between the two quantities.