51 Is 33.3 Of What Number

51 is 33.3 of What Number: A Mathematical Mystery Solved

Do you find yourself puzzled by mathematical equations that involve percentages? You’re not alone. 51 is 33.3 of what number has stumped many, leaving them searching for the elusive answer. This guide will clear the fog, revealing the hidden solution and empowering you to conquer similar challenges.

Understanding the Perplexing Problem

If 51 is 33.3% of an unknown number, what is that number? This question requires a deep understanding of percentages and their relationship to fractions. Many struggle with this concept, leading to frustration and a nagging sense of incompleteness.

Unveiling the Solution

To solve this equation, we can set up a proportion:

51 / x = 33.3 / 100

where x represents the unknown number. Cross-multiplying and simplifying, we get:

51 * 100 = 33.3 * x

Solving for x, we find that:

x = 51 * 100 / 33.3
x = 153

Therefore, 51 is 33.3% of 153.

Key Takeaways

  • To solve percentage problems, set up a proportion relating the percentage to the fraction.
  • Cross-multiply to eliminate the fractions and solve for the unknown.
  • Understanding percentages and their relationship to fractions is crucial for solving such equations.
51 Is 33.3 Of What Number

51 is 33.3% of What Number?

51 is 33.3% of what number

Introduction

Percentage is a mathematical term used to express a fraction of a hundred. It is denoted by the symbol ‘%’. To calculate the percentage, we divide the part by the whole and multiply the result by 100. In this article, we will determine the whole number when 51 is 33.3% of that number.

Understanding the Problem

The given statement is: “51 is 33.3% of what number?”

Setting Up the Equation

Let’s assume the whole number is represented by “x”. Then, we can set up the following equation:

51 = (33.3/100) * x

Solving for x

To solve for x, we need to isolate it on one side of the equation. First, we can simplify the equation by multiplying both sides by 100:

5100 = 33.3x

Then, we divide both sides by 33.3:

x = 153

Conclusion

Therefore, 51 is 33.3% of 153.

FAQs

1. What is the formula to calculate the percentage?

percentage formula

Formula: Percentage = (Part / Whole) * 100%

2. What is the percentage of 51 in 153?
Percentage = (51 / 153) * 100% = 33.3%

3. How to find the whole number when a part and percentage are given?
Whole number = Part / (Percentage / 100)

4. What is the application of percentage in daily life?
Percentage is used in various aspects of life, such as:

  • Calculating discounts and sales
  • Finding the interest on a loan
  • Determining the tax amount
  • Comparing data and statistics

5. What are the different ways to express percentage?
Percentage can be expressed in three ways:

  • As a decimal (e.g., 0.333)
  • As a fraction (e.g., 1/3)
  • As a percentage (e.g., 33.3%)

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