To find 54 percent of 85, we need to multiply 85 by 0.54. This calculation involves converting the percentage to a decimal by dividing by 100 and then multiplying it by the given number.
Calculation Steps
First, we convert 54 percent to a decimal: 54 / 100 = 0.54. Then, we multiply 85 by this decimal: 85 * 0.54.
Performing the Calculation
The calculation is as follows: 85 * 0.54 = 45.9. Therefore, 54 percent of 85 is 45.9.
| Calculation Component | Value |
|---|---|
| Percentage | 54% |
| Decimal Equivalent | 0.54 |
| Number | 85 |
| Result | 45.9 |
Real-World Applications
Calculating percentages is crucial in various real-world scenarios, such as determining discounts, understanding statistics, and analyzing financial data. For instance, if a product originally priced at $85 is on sale for 54% off, knowing that 54% of 85 is 45.9 helps in calculating the discount amount and the new sale price.
Discount Calculation Example
In the context of a sale, if an item costs 85 and there's a 54% discount, the discount amount would be 45.9 (as calculated from 54% of 85). The sale price would then be the original price minus the discount: 85 - 45.9 = 39.1. This demonstrates how percentage calculations are applied in everyday transactions.
- Original Price: $85
- Discount Percentage: 54%
- Discount Amount: $45.9
- Sale Price: $39.1
What is the formula to calculate a percentage of a number?
+To calculate a percentage of a number, you first convert the percentage to a decimal by dividing by 100, and then multiply this decimal by the number. The formula is: (percentage / 100) * number.
How do percentages apply to real-world scenarios like sales and discounts?
+Percentages are crucial in calculating discounts, where the percentage off is converted to a decimal and then multiplied by the original price to find the discount amount. The sale price is the original price minus the discount amount. This applies to various transactions, including retail sales, promotions, and more.
In conclusion, calculating percentages, such as finding 54 percent of 85, involves straightforward arithmetic that has numerous practical applications. Understanding how to perform these calculations is essential for navigating financial, statistical, and everyday scenarios accurately.
