What percent of 20 is 60
The correct Answer and Explanation is:
To determine what percent 60 is of 20, we can use the formula for percentage:Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100Percentage=(WholePart)×100
In this case, Part is 60, and Whole is 20. Plugging the values into the formula:Percentage=(6020)×100\text{Percentage} = \left( \frac{60}{20} \right) \times 100Percentage=(2060)×100
Calculating the fraction first:6020=3\frac{60}{20} = 32060=3
Now, multiplying by 100 to convert the fraction into a percentage:Percentage=3×100=300%\text{Percentage} = 3 \times 100 = 300\%Percentage=3×100=300%
Thus, 60 is 300% of 20.
Explanation
The calculation of what percent one number is of another is a fundamental concept in mathematics, especially in statistics and financial applications. The formula used here highlights the relationship between a part and a whole, allowing us to express this relationship as a percentage, which is a way to represent a number as a fraction of 100.
When we substitute 60 as the part and 20 as the whole into the formula, it reveals how many times the whole (20) fits into the part (60). In this case, 60 is three times larger than 20. When expressing this as a percentage, we multiply the result (3) by 100 to get the percentage value.
Understanding percentages is crucial in various real-life scenarios, such as calculating discounts, determining tax rates, or analyzing data. For example, if a product originally costs $20 and is marked up to $60, knowing that the markup represents a 300% increase provides a clearer picture of the price change. This understanding helps in budgeting, financial planning, and making informed decisions based on price variations.
Overall, the ability to calculate percentages efficiently is a valuable skill across multiple fields, including business, education, and everyday financial literacy.