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IMPORTANT RULES OF PERCENTAGE

**IMPORTANT RULES OF PERCENTAGE **

**The percentage is one of the very important forms of solving a problem for the purpose of a step forward to advanced mathematics.
Percentage is required for any kind of mathematics including research-oriented projects or for any kind of higher grade mathematical project. Percent or per centum or
per century means “ in a hundred “, thus when we say 26 percent, we mean 26
out of 100. Symbolically this can be written as 26%.**

**Some Conversion Rules Of Percentage –**

**Rule.1 )** **To convert a percentage into a fraction****, we will write the number as the numerator and 100 as the
denominator and then reduce this fraction to its simplest form. we can also
express the fraction as a ratio.**

**Rule.2 ) To convert a
fraction into a percentage, multiply the fraction by 100 and add the % symbol, since
ratios are essentially fractions, you can also express a ratio as a percentage.**

**Rule.3) To convert a percentage into a decimal, we have to remove the % sign and shift the decimal point in the
number by two places to the left.**

**Rule.4) To convert decimal into a percentage, shift the decimal point in the number by two places to the
right, and add the % sign.**

**Rule.5) To find a given percentage of a quantity, write the percentage as a fraction and multiply the quantity
by the fraction.**** x**

** x %
of y = --------- X y**

**
**

** 100**

**Rule. 6) To express a
given quantity as a percentage of another quantity, to express a given quantity as a percentage of another
quantity of the same kind, now we would like to divide the given quantity by the other quantity,
multiply the result by 100 and add the % sign.**

** A**

** A as
percentage of B = ( ------- X 100 ) % of B**

** B**

**Rule.7) To find a quantity from a given percentage of a
quantity, to find a quantity
from a given percentage of a quantity, express the given percentage as a
fraction and divide the given quantity by this fraction.**

**Rule.8) To find the percentage
change in a quantity, to find the percentage change in a quantity, write the
change in the quantity as the numerator and the original quantity as the
denominator, and then multiply the fraction by 100.**

** Change In The Quantity **

** Percentage Change
= ------------------------ X 100**

** Original Quantity**