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Chapter 1: Problem 26

What percent is \(42.5\) of 1700 ?

Short Answer

Expert verified
42.5 is 2.5% of 1700.

Step by step solution

01

Identify the Formula

To solve for the percentage, the formula used is: \[ \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100 \]Here, the part is 42.5 and the whole is 1700.
02

Substitute the Values

Replace 'Part' with 42.5 and 'Whole' with 1700 in the formula: \[ \text{Percentage} = \frac{42.5}{1700} \times 100 \]
03

Simplify the Fraction

Perform the division inside the fraction:\[ \frac{42.5}{1700} = 0.025 \]
04

Multiply by 100

Multiply the result by 100 to convert the decimal into a percentage:\[ 0.025 \times 100 = 2.5 \]
05

Final Answer

The percentage of 42.5 out of 1700 is 2.5%.

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Key Concepts

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

percentage formula
When you need to find out what percentage one number is of another, you use the percentage formula. This formula is very straightforward and can be remembered easily.

The formula is:
\[ \text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100 \]
Here:
  • \

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