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Of the 50 U.S. states, 4 have names that start with the letter W.
What percentage of U.S. states have names that start with the letter W?

%

Of the 5050 U.S. states, 44 have names that start with the letter W.\newlineWhat percentage of U.S. states have names that start with the letter W?\newline% \%

Full solution

Q. Of the 5050 U.S. states, 44 have names that start with the letter W.\newlineWhat percentage of U.S. states have names that start with the letter W?\newline% \%
  1. Identify Problem Parts: Understand the problem and identify the 'Whole' and the 'Part'.\newlineThe 'Whole' is the total number of U.S. states, which is 5050.\newlineThe 'Part' is the number of U.S. states with names that start with the letter W, which is 44.
  2. Use Percent Formula: Use the percent formula: Percent (as a decimal) ×\times Whole = Part.\newlineWe need to find the percentage of U.S. states that start with the letter W, so we set up the equation:\newlinePercentage of states starting with W (as a decimal) ×50=4\times 50 = 4.
  3. Solve for Percentage: Solve for the unknown percentage.\newlineLet's use 'xx' to represent the unknown percentage as a decimal.\newlineThe equation becomes:\newlinex×50=4x \times 50 = 4.\newlineTo solve for 'xx', divide both sides of the equation by 5050:\newlinex=450x = \frac{4}{50}.
  4. Calculate Decimal Value: Calculate the decimal value. x=450x = \frac{4}{50}, x=0.08x = 0.08.
  5. Convert to Percentage: Convert the decimal to a percentage.\newlineTo convert a decimal to a percentage, multiply by 100100 and add the percent sign (%).\newline0.08×100=8%0.08 \times 100 = 8\%.
  6. Answer Prompt: Answer the question prompt.\newlineThe percentage of U.S. states that have names starting with the letter W is 8%8\%.