what is 140% of 15
The Correct Answer and Explanation is :
To calculate 140% of 15, you follow these steps:
- Convert 140% to a decimal:
- Percent means “per 100,” so 140% is the same as ( \frac{140}{100} = 1.4 ).
- Multiply the decimal by 15:
- ( 1.4 \times 15 = 21 ).
So, 140% of 15 is 21.
Explanation
Percentages are a way to express numbers as parts of 100. When we say “140% of 15,” we’re asking for a number that is 140 parts per 100 of 15. Since 100% of a number is the number itself, anything over 100% means the result will be more than the original number.
Step 1: Converting percentage to decimal
- To work with percentages, it’s easier to convert them into decimals. To do this, divide the percentage by 100. In this case, 140% becomes 1.4. This tells us that we are dealing with a value that is 1.4 times the original number.
Step 2: Performing multiplication
- Once we have the decimal equivalent (1.4), we multiply it by the original number (15). Multiplication helps us scale the original number by the factor represented by the percentage. Here, 1.4 times 15 equals 21.
Why this works
- Percentages are useful for comparisons and scaling values in various situations, from sales discounts to performance metrics. In this case, 140% of 15 means the result is 40% greater than 15, and the additional value (6) is added to the original 15, giving 21.
Understanding percentages helps in many real-life applications, such as finance, medicine, and business.