what percent of 350 is 252

Natashya

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26-12-2024

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What Percent of 350 is 252? A Step-by-Step Guide

Finding what percent one number is of another is a common calculation in many areas, from calculating discounts to understanding statistics. This article will guide you through finding the percentage, showing you the steps and the underlying math. We'll answer the question: What percent of 350 is 252?

Understanding the Problem

The question "What percent of 350 is 252?" is asking us to find a percentage that, when multiplied by 350, equals 252. We can express this as an equation:

X% * 350 = 252

Where 'X' represents the unknown percentage we need to find.

Method 1: Using a Proportion

One effective way to solve this is by setting up a proportion:

252 / 350 = X / 100

This proportion sets the ratio of 252 to 350 equal to the ratio of X (our unknown percentage) to 100 (representing the whole). To solve for X:

1. Cross-multiply: 252 * 100 = 350 * X
2. Simplify: 25200 = 350X
3. Isolate X: X = 25200 / 350
4. Calculate: X = 72

Therefore, 252 is 72% of 350.

Method 2: Using Decimal Conversion

Alternatively, we can solve this using decimal conversions:

1. Divide: Divide 252 by 350: 252 ÷ 350 = 0.72
2. Convert to Percentage: Multiply the decimal result by 100 to convert it to a percentage: 0.72 * 100 = 72%

This confirms our previous result: 252 is 72% of 350.

Real-World Applications

This type of calculation has many practical uses. For example:

• Sales and Discounts: If an item originally cost $350 and is now selling for $252, the discount is 72%.
• Test Scores: If you answered 252 questions correctly out of 350, your score is 72%.
• Surveys and Polls: If 252 out of 350 people surveyed answered "yes" to a question, 72% responded affirmatively.

Conclusion

Using either the proportion method or the decimal conversion method, we've definitively shown that 252 is 72% of 350. Understanding these methods allows you to tackle similar percentage problems with confidence. Remember to always clearly define your variables and follow the steps carefully for accurate results.