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 .
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 .
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 .
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.
