What percent of 240 is 72?
30%
The question asks what percent of 240 gives 72, so let that unknown percent be \(x\).
'x percent of 240' is written as \(\frac{x}{100}\times 240\), and this must equal 72.
So the equation is \(\frac{x}{100}\times 240 = 72\).
Rearranging for x gives \(x = \frac{72\times 100}{240}\).
Evaluate the fraction: \(x = \frac{7200}{240} = 30\).
So 72 is 30% of 240; equivalently, one part in the ratio \(\frac{72}{240}=0.30\) times 100 is 30.
The concept used is that 'what percent' is found by dividing the part by the whole and multiplying by 100.
The required percentage is 30%.
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