Question

Solve the percent problem. \(14 \%\) of 220 feet is what distance?

Short answer

14% of 220 feet is 30.8 feet.

Step-by-step solution

Convert Percentage to Decimal

A percentage is a way of expressing a proportion or a fraction on a scale of 100. In other words, 'p percent' is same as 'p per hundred'. For calculation purposes, it is easier to convert this to a decimal. This can be done by dividing the percentage number by 100. So, \(14\% = \frac{14}{100} \) or 0.14.

Calculate the Part

To find out what 14% of 220 feet represents, multiply 0.14 (the decimal form of 14%) by 220. Using the formula \(part = percent \times whole\), where 'whole' is 220 feet and 'percent' is 0.14, the equation becomes \(part=0.14 \times 220\).

Calculate the Final Answer

Multiplying 0.14 by 220, gives the result of 30.8. Therefore, 14% of 220 feet is 30.8 feet.