65% of what number is 26?

1 Answer
Nov 21, 2016

Answer:

#x=40#

Explanation:

information needed
#65%# of what number is #26#?

concepts applied
percent to fraction conversion #65%=65/100#
fractional division #a\divb/c=a\timesc/b#

calculation

  • set the number you want to find as #x#
  • apply dimensional analysis with conversion factor #65/100#
    #\rArrx\times65/100=26#
  • divide both sides by #65/100# #\rArrx\cancel(\times65/100)\cancel(\color(indianred)(\times100/65))=26\color(indianred)(\times100/65)#
  • simplify multiplication
    #\rArrx=(26\times100)/65=2600/65#

solution
#\rArrx=40#