16% of what number is 192?

1 Answer
Aug 24, 2016

16% of 1200 = 192

Explanation:

If you are writing about percentage you use the form #16%#

If you are calculating using percentage you use the form #16/100#

Let the unknown value be #x#

Then

#16/100xx x =192#

Multiply both sides by #color(blue)(100/16)# to get #x# on its own

#color(brown)(16/100color(blue)(xx100/16) xx x= 192 color(blue)(xx 100/16))#

But #16/100xx100/16 -> 16/16xx100/100 = 1xx 1 =1# giving

#x=(192xx100)/16= 1200#