what is 75 percent of 50

2 min read 02-02-2025

Introduction:

Figuring out percentages can seem daunting, but it's a valuable skill in everyday life, from calculating sales tax to understanding discounts. This article will walk you through how to easily determine what 75 percent of 50 is, and provide you with the tools to calculate other percentages as well. Understanding how to find 75% of 50 is a great starting point for mastering percentage calculations.

Understanding Percentages

A percentage is a fraction or ratio expressed as a number out of 100. For example, 75 percent (75%) means 75 out of 100, or 75/100. We'll use this understanding to solve our problem.

Method 1: Using Decimal Conversion

This is a straightforward method. We'll convert the percentage to a decimal and then multiply.

Step 1: Convert the percentage to a decimal: To convert 75% to a decimal, divide by 100: 75 / 100 = 0.75
Step 2: Multiply the decimal by the whole number: Multiply the decimal (0.75) by the number you want to find the percentage of (50): 0.75 * 50 = 37.5

Therefore, 75% of 50 is $\boxed{37.5}$

Method 2: Using Fractions

This method is useful for understanding the underlying concept.

Step 1: Express the percentage as a fraction: 75% can be expressed as the fraction 75/100. This fraction can be simplified to 3/4.
Step 2: Multiply the fraction by the whole number: Multiply the simplified fraction (3/4) by 50: (3/4) * 50 = 150/4
Step 3: Simplify the result: 150/4 simplifies to 37.5.

Again, we find that 75% of 50 is $\boxed{37.5}$

Method 3: Using a Calculator

Most calculators have a percentage function. Simply enter 75%, then the multiplication symbol, then 50, and press equals. The calculator will automatically perform the calculation, giving you the answer: $\boxed{37.5}$

Solving Other Percentage Problems

The methods described above can be applied to any percentage calculation. Simply replace 75% and 50 with your desired values and follow the steps.

Conclusion

Finding 75% of 50 is easily accomplished using several methods: converting the percentage to a decimal, using fractions, or using a calculator. Understanding these methods will empower you to tackle any percentage calculation with confidence. Remember, mastering percentages is a practical skill with wide-ranging applications.