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Probability of women that attended the party is 0.38.

So, the probability of women that attended the party is 1-0.38=0.62

The probability that the person attended the party given she is woman is 0.48.

The probability that the person attended the party given she is woman is 0.37

$\text{The percentage of women that attended the party can be calculated as:}$

$P(\text{Women}鈭�\text{Attended the party})=\frac{P\left(\text{Women and Attended the party}\right)}{P(\text{Attended the party)}}$

$=\frac{0.48(0.38)}{0.48(0.38)+(0.37)(0.62)}$

$=0.4429$

$=44.29\%$

role="math" localid="1646971453310" $\text{Therefore, the required percentage is}44.29\%\text{.}$

$\text{The percentage of original class that attended the party can be calculated as:}$

$P\left(\begin{array}{l}\text{Attended the}\\ \text{party}\end{array}\right)=P\left(\begin{array}{l}\text{Attended the}\\ \text{party|Women}\end{array}\right)P\left(\text{Women}\right)+P\left(\begin{array}{c}\text{Attended the}\\ \text{party}|Men\end{array}\right)P\left(Men\right)$

$=0.48(0.38)+0.37(0.62)$

$=0.4118$

$=41.18\%$

$\text{Thus, the required percentage is}41.18\%\text{.}$