Problem 26 - Elementary Algebra

Question

What percent is \(42.5\) of 1700 ?

Step-by-Step Solution

Answer

42.5 is 2.5% of 1700.

Step 1: 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.

Step 2: Substitute the Values

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

Step 3: Simplify the Fraction

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

Step 4: Multiply by 100

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

Step 5: Final Answer

The percentage of 42.5 out of 1700 is 2.5%.

Key Concepts

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:

• \