Which of the following is equivalent to 20%?

To determine the equivalent representation of 20%, it's helpful to understand the relationship between percentages, decimals, and fractions.

A percentage is a way of expressing a number as a fraction of 100. Therefore, 20% means 20 out of 100, which can be written as the fraction ( \frac{20}{100} ). When simplifying this fraction, we divide both the numerator and the denominator by 20, yielding ( \frac{1}{5} ).

To convert this fraction into decimal form, we perform the division ( 1 \div 5 ), which equals 0.20. Thus, the decimal equivalent of 20% is 0.20.

This understanding aligns with the choice that represents the correct decimal form of 20%. The other choices represent different decimal values that do not correspond to 20%, such as 0.02 (which is 2%), 0.25 (which is 25%), and 0.50 (which is 50%). Consequently, the answer 0.20 correctly captures what 20% equates to in decimal format.