what is 75 of 680

Natashya

2 min read

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23-12-2024

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Finding a percentage of a number is a common calculation in many areas of life, from calculating discounts to determining tax amounts. This article will clearly explain how to calculate 75% of 680, and provide some helpful context.

Understanding Percentages

Before diving into the calculation, let's quickly review what percentages represent. A percentage is a fraction out of 100. For example, 75% means 75 out of 100, or 75/100.

Method 1: Using Decimal Conversion

This is the most straightforward method. We convert the percentage to a decimal and then multiply it by the number.

1. Convert the Percentage to a Decimal:

To convert 75% to a decimal, divide it by 100:

75% ÷ 100 = 0.75

2. Multiply the Decimal by the Number:

Now, multiply the decimal (0.75) by the number you want to find the percentage of (680):

0.75 x 680 = 510

Therefore, 75% of 680 is $\boxed{510}$.

Method 2: Using Fractions

This method utilizes the fractional representation of the percentage.

1. Express the Percentage as a Fraction:

75% can be written as the fraction 75/100. This fraction can be simplified to 3/4.

2. Multiply the Fraction by the Number:

Multiply the simplified fraction (3/4) by 680:

(3/4) x 680 = (3 x 680) / 4 = 2040 / 4 = 510

Again, we find that 75% of 680 is $\boxed{510}$.

Method 3: Using Proportions

This method sets up a proportion to solve for the unknown value.

1. Set up the Proportion:

We can set up a proportion like this:

75/100 = x/680

Where 'x' represents 75% of 680.

2. Cross-Multiply and Solve:

Cross-multiply to solve for x:

75 * 680 = 100 * x 51000 = 100x x = 51000 / 100 x = 510

Therefore, 75% of 680 is $\boxed{510}$.

Real-World Applications

Understanding percentage calculations is crucial in many real-world scenarios:

• Sales and Discounts: Calculating the price after a 75% discount.
• Taxes: Determining the amount of tax payable on a purchase.
• Statistics: Analyzing data and interpreting percentages.
• Finance: Calculating interest on loans or investments.

This article has demonstrated three different methods to calculate 75% of 680, all resulting in the same answer: 510. Choose the method that you find most comfortable and easiest to understand. Remember to practice these calculations to build your confidence and proficiency.