The price of a cell phone was reduced from $450 to $225. By what percentage was the price of the cell phone reduced?

1. Break Down the Problem

To find the percentage reduction in the price of the cell phone, we need to:

1. Calculate the amount reduced in price.
2. Use the percentage formula to find the reduction percentage.

2. Relevant Concepts

The formula for percentage reduction is:
$\text{Percentage Reduction} = \left(\frac{\text{Original Price} - \text{New Price}}{\text{Original Price}}\right) \times 100$

3. Analysis and Detail

1. Calculate the amount reduced: $\text{Amount Reduced} = 450 - 225 = 225$

2. Calculate the percentage reduction: $\text{Percentage Reduction} = \left(\frac{225}{450}\right) \times 100$

4. Verify and Summarize

Now calculate the expression: $\frac{225}{450} = 0.5$ Thus, $\text{Percentage Reduction} = 0.5 \times 100 = 50\%$

Final Answer

The price of the cell phone was reduced by 50%.