what percentage of 250 is 75

Natashya

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24-12-2024

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Finding what percentage one number represents of another is a common calculation in various fields, from finance to academics. This article will guide you through calculating what percentage 75 is of 250, explaining the process step-by-step and providing helpful tips. Understanding this process will equip you to solve similar percentage problems independently.

Understanding Percentages

Before diving into the calculation, let's briefly review what percentages represent. A percentage is a fraction expressed as a number out of 100. For example, 50% means 50 out of 100, or 50/100, which simplifies to 1/2.

Calculating the Percentage: What Percentage of 250 is 75?

Here's how to determine what percentage 75 represents of 250:

Step 1: Set up the Equation

The basic formula for calculating a percentage is:

(Part / Whole) x 100% = Percentage

In this case:

• Part: 75 (the number we want to express as a percentage)
• Whole: 250 (the total number)

So, our equation becomes:

(75 / 250) x 100% = Percentage

Step 2: Perform the Division

Divide the part (75) by the whole (250):

75 / 250 = 0.3

Step 3: Multiply by 100%

Multiply the result of the division (0.3) by 100% to convert the decimal to a percentage:

0.3 x 100% = 30%

Therefore, 75 is 30% of 250.

Alternative Method: Using Proportions

Another approach involves setting up a proportion:

75/250 = x/100

Here, 'x' represents the unknown percentage. To solve for x, cross-multiply:

250x = 7500

Then, divide both sides by 250:

x = 7500 / 250 = 30

Therefore, x = 30%, confirming our previous calculation.

Practical Applications

Understanding percentage calculations is vital in many real-world situations, including:

• Finance: Calculating interest rates, discounts, tax rates, and profit margins.
• Statistics: Analyzing data and expressing results as percentages.
• Science: Representing experimental results and data analysis.
• Everyday life: Calculating tips, sale prices, and more.

Conclusion

By following these straightforward steps, you can easily determine what percentage 75 represents of 250. The answer is 30%. Mastering this fundamental percentage calculation will greatly enhance your ability to solve similar problems and improve your understanding of numerical relationships. Remember to practice these methods to build confidence and proficiency.