16 3/2% of what is 84?

1 Answer
Sep 28, 2016

#480#

Explanation:

We can find the #n#th percentage of any number #x# in the following way:

#=># #n%# of #x= (x) / (100) cdot n#

In this case, we have #n# and we know the value:

#=> 84 = (x) / (100) cdot 16 (3) / (2)#

#=> 84 = (x) / (100) cdot (35) / (2)#

#=> 84 = (35 x) / (200)#

#=> 16,800 = 35 x#

#=> 480 = x#

#=> x = 480#

Therefore, #16 (3) / (2) %# of #480# is equal to #84#.