What percent of 105 is 63?

1 Answer
smendyka
Feb 21, 2017

60% of 105 is 63

Explanation:

First, lets call the percent we are looking for "p".

"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as #p/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Putting this altogether we can write this equation and solve for #n# while keeping the equation balanced:

#p/100 xx 105 = 63#

#color(red)(100)/color(blue)(105) xx p/100 xx 105 = color(red)(100)/color(blue)(105) xx 63#

#cancel(color(red)(100))/cancel(color(blue)(105)) xx p/color(red)(cancel(color(black)(100))) xx color(blue)(cancel(color(black)(105))) = 6300/color(blue)(105)#

#p = 60#

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