what is 70 of 115

2 min read 27-12-2024

Finding a percentage of a number is a common calculation in many areas of life, from calculating discounts to determining grades. This article will show you exactly how to calculate what 70% of 115 is, providing a clear, step-by-step solution. We'll also explore different methods to achieve the same result.

Understanding Percentages

Before we dive into the calculation, let's quickly review what percentages represent. A percentage is a fraction of 100. For example, 70% means 70 out of 100, or 70/100.

Method 1: Converting Percentage to Decimal

This is the most common method for calculating percentages. We'll convert the percentage to a decimal and then multiply it by the number.

Step 1: Convert the percentage to a decimal.

To convert 70% to a decimal, divide 70 by 100:

70 ÷ 100 = 0.7

Step 2: Multiply the decimal by the number.

Now, multiply the decimal (0.7) by 115:

0.7 x 115 = 80.5

Therefore, 70% of 115 is $\boxed{80.5}$

Method 2: Using Fractions

We can also solve this problem using fractions.

Step 1: Convert the percentage to a fraction.

70% can be written as the fraction 70/100. This fraction can be simplified to 7/10.

Step 2: Multiply the fraction by the number.

Multiply the fraction (7/10) by 115:

(7/10) x 115 = 805/10

Step 3: Simplify the fraction (if necessary).

805/10 simplifies to 80.5

Again, we find that 70% of 115 is $\boxed{80.5}$

Method 3: Using a Calculator

Most calculators have a percentage function. Simply enter 70%, then the multiplication symbol, then 115, and press the equals sign (=). The calculator will directly give you the answer: 80.5

Real-World Applications

Understanding how to calculate percentages is crucial in many real-world situations, including:

Sales and discounts: Calculating the price after a 70% discount.
Taxes: Determining the amount of tax on a purchase.
Grades and scores: Calculating a percentage grade on a test.
Financial calculations: Figuring out interest rates or investment returns.

Conclusion

Calculating 70% of 115 is straightforward using various methods. Whether you prefer converting to decimals, using fractions, or employing a calculator, the answer remains the same: $\boxed{80.5}$ . Mastering percentage calculations improves your problem-solving skills across numerous everyday situations.