Final answer:
The percent discount Juan received on the shoes is calculated by dividing the discount amount by the original price and then multiplying by 100, resulting in a 42.5% discount.
Step-by-step explanation:
Juan found a pair of shoes with a regular price of $80 that were marked down to $46. To calculate the percent discount, first find the amount of the discount by subtracting the sale price from the regular price. So, the discount amount is $80 - $46 = $34. Next, find the percent discount by dividing the discount amount by the original price and then multiplying by 100 to convert the decimal to a percentage. Therefore, the percent discount is ($34 ÷ $80) × 100, which equals 42.5%.