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Express 15 as a percentage of 20.

Mathematics

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Step-by-step solution

4 steps
  1. To express one number as a percentage of another, divide the first number by the second number and then multiply by 100%100\%.

    Percentage=PartWhole×100%\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100\%

    In this problem, the part is 15 and the whole is 20.

  2. Substitute the given values into the formula.

    Percentage=1520×100%\text{Percentage} = \frac{15}{20} \times 100\%
  3. Simplify the fraction 1520\frac{15}{20}.

    Percentage=3×54×5×100%\text{Percentage} = \frac{3 \times 5}{4 \times 5} \times 100\% Percentage=34×100%\text{Percentage} = \frac{3}{4} \times 100\%
  4. Convert the fraction to a decimal and multiply by 100%100\%.

    Percentage=0.75×100%\text{Percentage} = 0.75 \times 100\% Percentage=75%\text{Percentage} = 75\%

    The final answer is 75%\boxed{\text{75\%}}.

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