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To calculate a percentage of a percentage, convert both percentages to fractions of 100, or to decimals, and multiply them. For example, 50% of 40% is: 50 / 100 × 40 / 100 = 0.50 × 0.40 = 0.20 = 20 / 100 = 20%. It is not correct to divide by 100 and use the percent sign at the same time; it would literally imply ...
In general, a common fraction is said to be a proper fraction if the absolute value of the fraction is strictly less than one—that is, if the fraction is greater than −1 and less than 1. [ 14 ] [ 15 ] It is said to be an improper fraction , or sometimes top-heavy fraction , [ 16 ] if the absolute value of the fraction is greater than or ...
In the United Kingdom, proof is 1.75 times the number (expressed as a percentage). [ 23 ] [ 20 ] For example, 40% alc/vol is 80 proof in the US and 70 proof in the UK. However, since 1980, alcohol proof in the UK has been replaced by alc/vol as a measure of alcohol content, avoiding confusion between the UK and US proof standards.
For example, the ratio 4:5 can be written as 1:1.25 (dividing both sides by 4) Alternatively, it can be written as 0.8:1 (dividing both sides by 5). Where the context makes the meaning clear, a ratio in this form is sometimes written without the 1 and the ratio symbol (:), though, mathematically, this makes it a factor or multiplier .
Thus pure 100% alcohol will have 100×(7 ⁄ 4) = 175 proof, and a spirit containing 40% ABV will have 40×(7 ⁄ 4) = 70 proof. The proof system in the United States was established around 1848 and was based on percent alcohol rather than specific gravity. Fifty percent alcohol by volume was defined as 100 proof. [4]
Structure factor of a hard-sphere fluid, calculated using the Percus-Yevick approximation, for volume fractions from 1% to 40%. In the hard sphere model, the particles are described as impenetrable spheres with radius R {\displaystyle R} ; thus, their center-to-center distance r ≥ 2 R {\displaystyle r\geq 2R} and they experience no ...
Being dimensionless, its unit is 1; it is expressed as a number, e.g., 0.18. It is the same concept as volume percent (vol%) except that the latter is expressed with a denominator of 100, e.g., 18%. The volume fraction coincides with the volume concentration in ideal solutions where the volumes of the constituents are additive (the volume of ...
In obstructive lung disease, the FEV1 is reduced due to an obstruction of air escaping from the lungs. Thus, the FEV1/FVC ratio will be reduced. [4] More specifically, according to the National Institute for Clinical Excellence, the diagnosis of COPD is made when the FEV 1 /FVC ratio is less than 0.7 or [8] the FEV 1 is less than 75% of predicted; [9] however, other authoritative bodies have ...