what is 80 percent of 125

2 min read 23-12-2024

Introduction:

Finding a percentage of a number is a common task in many areas of life, from calculating discounts to determining grades. This article will show you exactly how to calculate 80% of 125, explaining the process step-by-step so you can easily apply this method to other percentage calculations. Understanding how to find 80 percent of 125 is a valuable skill, useful in various situations.

Understanding Percentages

Before diving into the calculation, let's quickly review what percentages represent. A percentage is a fraction of 100. For instance, 80% means 80 out of 100, or 80/100. This can be simplified to 4/5.

Method 1: Using Decimals

This is the most common and straightforward method. We convert the percentage (80%) into a decimal by dividing it by 100:

80% = 80 ÷ 100 = 0.8

Now, multiply this decimal by the number we want to find the percentage of (125):

0.8 x 125 = 100

Therefore, 80% of 125 is $\boxed{100}$ .

Method 2: Using Fractions

We can also solve this problem using fractions. As mentioned earlier, 80% is equivalent to the fraction 80/100 or its simplified form, 4/5. To find 80% of 125, we multiply 125 by the fraction 4/5:

(4/5) x 125 = (4 x 125) / 5 = 500 / 5 = 100

Again, this shows that 80% of 125 is $\boxed{100}$ .

Method 3: Proportion

Another approach involves setting up a proportion:

80/100 = x/125

To solve for 'x' (which represents 80% of 125), cross-multiply:

100x = 80 x 125

100x = 10000

x = 10000 / 100

x = 100

Therefore, using proportions, we confirm that 80% of 125 is $\boxed{100}$ .

Practical Applications

Understanding percentage calculations like this is valuable in many real-world scenarios. Here are a few examples:

Discounts: If an item is 80% off, and the original price is $125, you'll save $100.
Sales Tax: Calculating the tax amount on a purchase.
Grade Calculations: Determining your score on a test or assignment.
Tip Calculations: Figuring out how much to tip at a restaurant.

Conclusion

We've explored three different methods to calculate 80% of 125, all arriving at the same answer: 100. Mastering these methods empowers you to easily solve similar percentage problems in your daily life and academic pursuits. Remember, the key is to understand the relationship between percentages, decimals, and fractions. Now you can confidently tackle any percentage calculation you encounter!