How to get an order item's discount amount programmatically?

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You can use the getBaseDiscountAmount() and the getDiscountAmount() methods of the \Magento\Sales\Model\Order\Item class:

The getBaseDiscountAmount() method returns a discount amount in the store’s base currency.
The getDiscountAmount() method returns a discount amount in the order’s currency.

You can also directly use the base_discount_amount and discount_amount columns of the sales_order_item table:

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See also:

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Is this a typo? Instead of…

The getBaseDiscountAmount() method returns a discount amount in the store’s base currency.
The getBaseDiscountAmount() method returns a discount amount in the order’s currency.

…did you mean…?

The getBaseDiscountAmount() method returns a discount amount in the store’s base currency.
The getDiscountAmount() method returns a discount amount in the order’s currency.

…or something else?

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Yes, you are right, I have corrected the article.