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To calculate the equivalent single discount of two successive discounts, you can use the formula for successive discounts. This involves determining the overall price after applying each discount consecutively.

Assume the original price of an item is $100.

First, you apply the first discount of 20 percent. This results in:

1. Calculating 20% off of the $100:

Discount = 20% of $100 = $20

New price after the first discount = $100 - $20 = $80.

Next, you apply the second discount of 10 percent to the new price of $80:

2. Calculating 10% off of $80:

Discount = 10% of $80 = $8

New price after the second discount = $80 - $8 = $72.

At this point, you have determined that the final price after both discounts is $72. To find the equivalent single discount, you compare the final price to the original price:

- Original price = $100

- Final price = $72

- Discount amount = $100 - $72 = $28.

Now, to find the equivalent single discount percentage:

Equivalent single discount = (Discount amount / Original price) ×