PERCENTAGE

PERCENTAGE :- Percent means 'for every hundred'. OR It can be defined as " a fraction whose denominator is 100 is called percentage, and the numerator of the fraction is called rate percent".Thus, x percent means x hundredth, written as x%.

CONVERSION OF PERCENTAGE :-

CONVERT PERCENT INTO FRACTION :-
     Rule :-  To convert percent into fraction, drop the percent sign and divide the number by 100 and simplify.
     For eg.          5%
               
                    =   $\frac{5}{100}$
             
                    =   $\frac{1}{20}$


CONVERT PERCENT INTO RATIO :-
     Rule :-  To convert percent into ratio, first convert percent into fraction in the simplest form and then to ratio.
     For eg.          25%
                   
                     =   $\frac{25}{100}$

                     =   $\frac{1}{4}$

            $\therefore $  Required ratio = 1:4

CONVERT PERCENT INTO DECIMAL :-
     Rule :-   To convert percent into decimal, drop the percent sign and then shift the decimal point two places to the left.
     For eg.          115%

                     =   $\frac{115}{100}$

                     =   1.15


CONVERT FRACTION INTO PERCENT :-
     Rule :-   To convert fraction into percent, multiply the fraction by 100 and write % sign.
     For eg.          $\frac{3}{25}$
                    
                    =   $\left ( \frac{3}{25}\, \times 100 \, \right)$%

                    =   12 %

CONVERT RATIO INTO PERCENT :-
   Rule :-   To convert ratio into percent, first write the ratio as a fraction, then multiply by 100 and write % sign.
   For eg.           9:25

                    =   $\frac{9}{25}$

                    =   $\left ( \frac{9}{25}\, \times 100 \, \right)$%

                    =   36 %


CONVERT DECIMAL INTO PERCENT :-
   Rule :-   To convert decimal into percent, shift the decimal point two places to the right and write % sign   OR   multiply by 100 and and put % sign.
   For eg.            0.045
                     =   ( 0.045 $\times$ 100 )%
                     =   4.5 %        

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