Currency & Forex
Basic

Currency Conversion

Convert an amount from one currency to another using the quoted exchange rate.

Formula

Foreign=Domestic×RateForeign = Domestic \times Rate

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Variables

ForeignAmount in target currency
DomesticAmount in base currency
RateUnits of target per base

Example

$100 at 0.92 EUR/USD = €92

How it works

This formula converts money by multiplying the starting amount in the original currency by the exchange rate quoted in target-currency units per 1 unit of the base currency. If the rate says how many foreign units you get for one domestic unit, then multiplying gives the equivalent value in the new currency. It works because exchange rates are proportional conversion factors, just like inches-to-centimetres or kilometres-to-miles.

When to use it

Use this when converting prices, wages, budgets, or account balances from one currency to another. It is especially useful when reading exchange rates in travel, e-commerce, finance, and international trade.

Worked example, step by step

Convert £250 to US dollars at a rate of 1.27 USD/GBP Foreign = Domestic × Rate Foreign = 250 × 1.27 Foreign = 317.50 So, £250 = $317.50

Common mistakes to avoid

  • Using the rate the wrong way round and dividing when you should multiply
  • Mixing up which currency is the base currency and which is the target currency
  • Forgetting to match the units in the exchange rate, such as USD per GBP versus GBP per USD

Did You Know?

Quotes are directional: an “EUR/USD = 1.09” rate means one euro buys 1.09 dollars, not the reverse.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026