1. The problem is to understand how to work with percents and proportional fractions.
2. Percent means "per hundred," so $x\%$ means $\frac{x}{100}$.
3. Proportional fractions mean two ratios or fractions are equal, for example, $\frac{a}{b} = \frac{c}{d}$.
4. To solve problems with percents, convert the percent to a fraction or decimal first.
5. For example, to find 25% of 80, write $25\% = \frac{25}{100} = 0.25$.
6. Then multiply: $0.25 \times 80 = 20$.
7. For proportional fractions, if $\frac{a}{b} = \frac{c}{d}$, then $a \times d = b \times c$.
8. Example: If $\frac{3}{x} = \frac{6}{8}$, cross multiply: $3 \times 8 = 6 \times x$.
9. Simplify: $24 = 6x$.
10. Divide both sides by 6: $$\frac{\cancel{24}}{\cancel{6}} = \frac{6x}{6} \Rightarrow 4 = x$$.
11. So, $x = 4$.
This shows how to convert percents to fractions and solve proportional fraction problems step-by-step.
Percents Proportions Ce9Aed
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