Percent Exercises

1. What number is 25% of 30?
2. What number is 38% of 56?
3. What percent of 62 is 50? Round to the nearest tenth of a percent.
4. $\frac{5}{7}$ is what percent of $\frac{11}{12}$? Round to the nearest tenth of a percent.

Source: Algebra2Go, https://www.saddleback.edu/faculty/Lperez/Algebra2Go/prealgebra/ratios/percentprobHW.pdf
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1. $x = 0.05 \cdot 30$
   $x = 7.5$
   
   
2. $x = 0.38 \cdot 56$
   $x = 21.28$
   
   
3. $x \cdot 62 = 50$
   $\frac{62x}{62} = \frac{50}{62}$
   $x = 0.806 = 80.6\%$
   
   
4. $\frac{5}{7} = x \cdot \frac{11}{12}$
   $(\frac{12}{11}) (\frac{5}{7}) = (x)(\frac{11}{12}) (\frac{12}{11})$
   Multiply both sides by the reciprocal of $\frac{11}{12}$
   $\frac{60}{77} = x$
   $0.779 = x$
   $77.9\% = x$