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:

$100/33 xx 33/100 xx x = 100/33 xx 66$

$1 xx x = 6600/33$

$x = 200$