12 is what percent of 200?

2 Answers
Dec 8, 2016

#6%#

Explanation:

How? #12/200xx100%=6/100xx100%=6.0%#.

Dec 8, 2016

#6%#

Explanation:

First of all, per #cent# means per #hundred# or #/100#.
#:. x%# can be written as #x/100#.

Let 12 be #x%# of 200, where #x# can be any whole number(0 to infinity) or decimal number(numbers with a '#.#').

Then, #200 xx x% = 12#
#color(white)("XXX")##200 xx x/100 = 12#
Multiplying both sides by #100/200#(in order to eliminate the numbers with #x#),
#x = 12 xx 100/200 = 12 xx (1cancel(00))/(2cancel(00)) = 12/2 = 6#