What number is 85%of 120 ?
The Correct Answer and Explanation is :
To find 85% of 120, you can follow these steps:
- Convert the percentage to a decimal:
- 85% means 85 out of 100, or ( \frac{85}{100} ). To convert a percentage to a decimal, simply divide it by 100.
- ( 85\% = \frac{85}{100} = 0.85 ).
- Multiply the decimal by the number:
- Now, to find 85% of 120, you multiply 120 by 0.85.
[
120 \times 0.85 = 102
]
So, 85% of 120 is 102.
Explanation:
Step 1: Converting percentage to decimal
- Percentages represent parts out of 100. To express 85% as a decimal, you divide it by 100. This shifts the decimal point two places to the left, converting 85% to 0.85.
- This step is important because percentages can’t be directly multiplied with numbers, and we need to convert them to decimals for proper calculation.
Step 2: Multiplying by the decimal
- After converting the percentage to a decimal (0.85), you multiply it by the number you want to find the percentage of (120 in this case).
- Multiplication is the operation used here because you’re looking for a part (85%) of a whole (120). Multiplying 120 by 0.85 tells us how much 85% of 120 is.
- The result is 102, which means that 85% of 120 equals 102.
This method works for finding any percentage of a number. Simply convert the percentage to a decimal and multiply it by the original number. This process is used frequently in various fields, such as finance, education, and data analysis, where understanding percentages is crucial for making informed decisions or solving problems.