411 REFERENCE · Wikibooks
A Guide to the GRE/Percentages
Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.
Percentages
Percentage is a fraction of 100. 11% = .11 =
Percent simply means “per hundred.” However, be careful not to mix up the two key ways in which percentages are used.
Do not mix up changing to a percentage with changing by a percentage.
If a group of 100 members decreases to 20% of its membership, its membership goes down to 20. If the group decreases by 20%, it goes down to 80. Increasing to 110% is the same as increasing by 10%. This also applies to fractions and decimals but is an especially common error with percentages.
Practice
{What is 30% of 80?
|type="{}"}
{ 24 }
{(Questions 2-3) If a bank account worth $10,000 increased in value by 25%...}
{...how much did it increase?
|type="{}"}
${ 2,500|2500 }
{...how much is it worth now?
|type="{}"}
${ 12,500|12500 }
{(Questions 4-5) If a bank account worth $10,000 decreased in value to 25% of its worth...}
{...how much did it decrease?
|type="{}"}
${ 7,500|7500 }
{...how much is it worth now?
|type="{}"}
${ 2,500|2500 }