33% of what number is 66?

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Answer 1 · 2016-11-16T18:06:59

Let #x# be that number hence

#33%*x=66#

#33/100*x=66#

#x/100=66/33#

#x/100=2#

#x=200#

Answer 2 · 2016-11-16T18:13:00

33% of 200 is 66.

This can be written as "33% of x is 66"

"Percent" or "%" means "out of 100" or "per 100", Therefore 33% can be written as #33/100# and this problem can be restated as:

#33/100 of x is 66#

When dealing with percents the word "of" means "times" or "to multiply". So we can again restate this as:

#33/100 xx x = 66#

Solving for #x# while keeping the equation balanced gives:

#100/33 xx 33/100 xx x = 100/33 xx 66#

#1 xx x = 6600/33#

#x = 200#