A percentage is a special type of fraction with 100 as the denominator. Percentage is indicated by the symbol %.

How to write a percentage as a fraction To write a percentage as a fraction you write using 100 as the denominator. Example: 35% is written as

How to change a fractions as a percentage To change a fraction to a percentage you multiply by 100. Example:

How to change a decimal to a percentage To change a decimal to a percentage you multiply by 100. Example: 0.63 = 0.63 × 100 = 63%

How to write a percentage as a decimal To write a percentage as a decimal you must divide by 100. Example: 35% =

Percentage Calculation Example: Find 35% of 200. 35% of 200 means 35% × 200 =

How to express one quantity as a percentage of another Example Express 54 as a percentage of 60. =

Finding percentage increase percentage increase =

# Percentages

A percentage is a special type of fraction with 100 as the denominator. Percentage is indicated by the symbol %.

How to write a percentage as a fraction To write a percentage as a fraction you write using 100 as the denominator. Example: 35% is written as

^{35}⁄_{100}.How to change a fractions as a percentage To change a fraction to a percentage you multiply by 100. Example:

^{2}⁄_{5}written as a percentage =^{2}⁄_{5}× 100 = 40%How to change a decimal to a percentage To change a decimal to a percentage you multiply by 100. Example: 0.63 = 0.63 × 100 = 63%

How to write a percentage as a decimal To write a percentage as a decimal you must divide by 100. Example: 35% =

^{35}⁄_{100}= 0.35Percentage Calculation Example: Find 35% of 200. 35% of 200 means 35% × 200 =

^{35}⁄_{100}× 200 = 70How to express one quantity as a percentage of another Example Express 54 as a percentage of 60. =

^{54}⁄_{60}× 100 = 90%Finding percentage increase percentage increase =

^{increase}⁄_{original amount}× 100 Example: The number of students in a grade 10 class was increased from 20 to 25. Find the percentage increase. Solution original amount = 20 increase = 25 - 20 = 5 % increase =^{5}⁄_{20}× 100 = 25%Copyright © 2012 Peter Smith
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