The dollar–euro exchange rate implies the price of the euro in dollars. You can use this exchange rate to convert a dollar amount into euros, or vice versa.

Suppose you’re an American exporter of backpacks. The importing firm in Germany wires a payment of €135,000 to your bank for the August 2012 shipment of backpacks. The bank deposits the money in your account as dollars, at an exchange rate of \$1.24. What’s the total number of dollars deposited into your account?

The exchange rate is defined as \$/€, and the amount of money is denominated in euros. You cancel the euros to find the amount in dollars by multiplying the euro payment by the dollar–euro exchange rate:

or

€135,000 x \$1.24 = \$167,400

In this case, your bank deposits \$167,400 into your account.

Suppose you’re an American importer of French cheese. You receive a new shipment for which you have to pay the French firm \$185,000. If the French firm’s bank applies the dollar–euro exchange rate of \$1.24, how many euros does the French firm receive?

Again, the exchange rate is defined as \$/€, and the amount is denominated in dollars. You cancel the dollars to find the amount in euros by dividing the dollar payment by the dollar–euro exchange rate:

or

\$185,000 / 1.24 = 149,194

The German firm receives €149,194 from this transaction.