Currency & Forex
Basic

Currency % Change

The percentage move in an exchange rate between two points in time.

Formula

%Δ=Rate1−Rate0Rate0×100%\%\Delta = \dfrac{Rate_1 - Rate_0}{Rate_0}\times 100\%

Variables

\%\DeltaPercent change
Rate_1New rate
Rate_0Old rate

Example

1.10 → 1.15: (0.05/1.10) = +4.5%

How it works

This formula tells you how much an exchange rate has moved relative to where it started, expressed as a percentage of the original rate. It works by taking the change in the rate (new minus old) and dividing by the old rate, so the result measures the move in proportion to the starting value rather than in raw units. A positive answer means the rate increased; a negative answer means it fell.

When to use it

Use this when comparing currency exchange rates across time, such as checking how much EUR/USD, GBP/JPY, or any other FX pair has risen or fallen over a day, week, or month. It is also useful in trading, reporting, and performance analysis where you need a percentage move rather than an absolute price difference.

Worked example, step by step

Old rate = 0.92 New rate = 0.98 Step 1: Find the change: 0.98 - 0.92 = 0.06 Step 2: Divide by the old rate: 0.06 / 0.92 = 0.0652 Step 3: Convert to a percentage: 0.0652 × 100% = 6.52% Final answer: the exchange rate changed by +6.52%

Common mistakes to avoid

  • Dividing by the new rate instead of the old rate
  • Forgetting to multiply by 100% at the end
  • Mixing up the sign and reporting an increase as a decrease

Did You Know?

Because rates are relative, one currency’s rise is always another’s fall by a matching amount.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026