523 liters in US gallons

Conversion

523 liters is equivalent to 138.161983383312 US gallons.^[1]

Conversion formula
How to convert 523 liters to US gallons?

We know (by definition) that: $1 liter \approx 0.264172052358148 usgallon$

We can set up a proportion to solve for the number of US gallons.

\frac{1 liter}{523 liter} \approx \frac{0.264172052358148 usgallon}{x usgallon}

Now, we cross multiply to solve for our unknown $x$ :

x usgallon \approx \frac{523 liter}{1 liter} * 0.264172052358148 usgallon \to x usgallon \approx 138.1619833833114 usgallon

Conclusion: $523 liter \approx 138.1619833833114 usgallon$

523 liters is equivalent to 138.161983383312 US gallons

Conversion in the opposite direction

The inverse of the conversion factor is that 1 US gallon is equal to 0.00723788104015296 times 523 liters.

It can also be expressed as: 523 liters is equal to $\frac{1}{0.00723788104015296}$ US gallons.

Approximation

An approximate numerical result would be: five hundred and twenty-three liters is about one hundred and thirty-eight point one five US gallons, or alternatively, a US gallon is about zero point zero one times five hundred and twenty-three liters.

Units involved

This is how the units in this conversion are defined:

Liters

"The litre (British spelling) or liter (American spelling) is an SI accepted metric system unit of volume equal to 1 cubic decimetre (dm3), 1,000 cubic centimetres (cm3) or 1/1,000 cubic metre. A cubic decimetre (or litre) occupies a volume of 10×10×10 centimetres (see figure) and is thus equal to one-thousandth of a cubic metre."

Wikipedia page of liters

Us Gallons

"The US gallon is legally defined as 231 cubic inches, which is exactly 3.785411784 liters.[2][3] A US liquid gallon of water weighs about 8.34 pounds or 3.78 kilograms at 62 °F (17 °C), making it about 16.6% lighter than the imperial gallon. There are four quarts in a gallon, two pints in a quart and 16 US fluid ounces in a US pint, which makes the US fluid ounce equal to 1⁄128 of a US gallon."

Wikipedia page of US gallons

Footnotes

[1] The precision is 15 significant digits (fourteen digits to the right of the decimal point).

Results may contain small errors due to the use of floating point arithmetic.

Conversion

Conversion formula How to convert 523 liters to US gallons?

Conversion in the opposite direction

Approximation

Conversion formula
How to convert 523 liters to US gallons?