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Converting litres per 100 km to miles per gallon

Take the reciprocal, then apply two unit conversions. Litres per 100 km falls as efficiency rises, so mpg must be formed by dividing rather than multiplying.

The Formula

mpg = 100 / (L/100km) x 3.785411784 / 1.609344

Take the reciprocal, then apply two unit conversions. Litres per 100 km falls as efficiency rises, so mpg must be formed by dividing rather than multiplying.

SymbolMeaning
L/100kmConsumption in litres per 100 kilometres
3.785411784 / 1.609344Gallon and mile conversion
mpgConsumption in miles per US gallon

What Each Symbol Means

L/100kmlitres per 100 km

Consumption in litres per 100 kilometres

Lower is better on this scale.

3.785411784 / 1.609344dimensionless

Gallon and mile conversion

US litres per gallon divided by kilometres per mile; together about 2.352146.

mpgmiles per US gallon

Consumption in miles per US gallon

Higher is better on this scale — the opposite direction to litres per 100 km.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate gas mileage page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate Gas Mileage, filed under Everyday Life. Every number the guide produces comes from substituting into this one line.