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Chapter 2: Problem 44

Solve. What percent of 150 is \(39 ?\)

Short Answer

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Step by step solution

01

- Understanding the Problem

The exercise asks for the percentage representation of 39 with respect to 150.
02

- Write the percentage formula

The formula to find what percent of some number (A) is another number (B) is: \[ \text{Percentage} = \frac{B}{A} \times 100 \ \]
03

- Substitute the given values into the formula

In this case, we have A = 150 and B = 39. Substitute these values into the formula: \[ \text{Percentage} = \frac{39}{150} \times 100 \]
04

- Perform the Calculation

Calculate the value: \[ \frac{39}{150} = 0.26 \ 0.26 \times 100 = 26 \]
05

- Write the final answer

Therefore, 39 is 26% of 150.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

percent formula
When you need to find out what percentage one number is of another, you use the percent formula. This formula is: \ \ \ \ \[\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100 \].\ \ \ Just remember to use the part that you are comparing to the whole. For example, if you want to know what percent 39 is of 150, '39' would be the part and '150' would be the whole.\ \ \ \ Just plug in the numbers and calculate!\
proportion
A proportion is a relationship between two quantities indicating how many times one value is contained within the other. By understanding proportions, you can solve many percentage problems easily. \ \ When solving for the percentage, you set up a proportion where you compare the part to the whole, like \ \(\frac{39}{150} \).\ \ \ \ \ Then, multiply by 100 to convert it into a percentage.\ \ For example: \ - Calculate \(\frac{39}{150} \). This equals 0.26\ - Multiply 0.26 by 100 to get the percentage\. - So, 39 is 26% of 150.\
mathematical calculation
Mathematical calculations are essential for solving percentage problems. Following the steps makes it easier: \ \ 1. Write down the percent formula: \(\frac{39}{150} \times 100\).\ \ 2. Simplify the fraction: \(\frac{39}{150} \) equals 0.26. \ 3. Multiply by 100: 0.26 times 100 equals 26. \ The final answer is that 39 is 26% of 150.\ \ Remember to always simplify your fraction first, then multiply by 100 to convert to a percentage. This makes sure your answer is accurate!

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