In mathematics, a percentage is a way of expressing a number, especially a ratio, as a fraction of 100. The word is derived from the Latin per centum meaning “by the hundred”. It is often denoted using the percent sign, “%”, or the abbreviation “pct.” For example, 45% (read as “forty-five percent”) is equal to 45/100, or 0.45. A related system which expresses a number as a fraction of 1000 uses the terms "per mil" and "millage".
Percentages are used to express how large/small one quantity is, relative to another quantity. The first quantity usually represents a part of, or a change in, the second quantity, which should be greater than zero. For example, an increase of $ 0.15 on a price of $ 2.50 is an increase by a fraction of 0.15/2.50 = 0.06. Expressed as a percentage, this is therefore a 6% increase.
Although percentages are usually used to express numbers between zero and one, any ratio can be expressed as a percentage. For instance, 111% is 1.11 and −0.35% is −0.0035. Although this is technically inaccurate as per the definition of percent, an alternative wording in terms of a change in an observed value is “an increase/decrease by a factor of...””
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Just before Christmas, Joe Miracle, a returning WWII war hero, comes home to learn that gangster Barney Teener has taken over his nightclub and murdered Joe's partner. Joe loots the club's safe for $100,000 and then finds sanctuary in a settlement house ran by Jenny Jones. Mistaking him for a down-and-out musician, she helps him understand the importance of her work. "Early" Byrd, a newspaper columnist, learns Joe's true identity and writes a column that puts Barney on his trail. The gangsters recover the money, after setting fire to the settlement house, but Joe steals it again, and returns to the gutted welfare house disguised as Santa Claus, and gives the money to Jenny to rebuild. There, Tenner and his gang catch up to Joe.
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