what percent of 75 is 57

Natashya

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22-12-2024

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What Percent of 75 is 57? A Step-by-Step Guide

Finding what percent one number is of another is a common calculation in math, and thankfully, it's straightforward. Let's break down how to determine what percentage 57 represents of 75. We'll walk through the process step-by-step, making it easy to understand and apply to other similar problems.

Understanding the Problem:

The core question is: 57 is what percent of 75? To solve this, we need to find the percentage value that, when multiplied by 75, equals 57.

Step 1: Set up the Equation

We can represent this problem as an equation:

X% * 75 = 57

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

Step 2: Convert the Percentage to a Decimal

Percentages are easily converted to decimals by dividing by 100. So, X% becomes X/100. Our equation now looks like this:

(X/100) * 75 = 57

Step 3: Solve for X

Now we can solve for X using basic algebra:

1. Multiply: 75 * X/100 = 0.75X
2. Rewrite the equation: 0.75X = 57
3. Isolate X: Divide both sides of the equation by 0.75: X = 57 / 0.75
4. Calculate: X = 76

Step 4: Convert Back to a Percentage

Remember, we solved for X as a decimal. To express the answer as a percentage, multiply by 100:

X = 76 * 100% = 76%

Therefore, 57 is 76% of 75.

Alternative Method: Using Proportions

Another way to approach this problem is using proportions:

57/75 = x/100

Cross-multiply and solve for x:

75x = 5700 x = 5700/75 x = 76

Again, this confirms that 57 is 76% of 75.

Practical Applications:

This type of percentage calculation is extremely useful in many real-world situations, such as:

• Calculating discounts: If an item is discounted from $75 to $57, you've received a 76% discount.
• Determining test scores: If you answered 57 questions correctly out of 75, your score is 76%.
• Analyzing data: This calculation helps in understanding proportions within datasets.

By understanding these steps, you can confidently calculate percentages in various contexts. Remember to always set up the equation correctly and follow the algebraic steps to arrive at the accurate answer.