Divide the gold price per troy ounce by the silver price per troy ounce. That is the whole calculation:
Gold-silver ratio = gold price per troy oz ÷ silver price per troy oz
Because both metals are quoted in dollars per troy ounce, the dollars and the ounces cancel out. The answer is a plain number with no unit attached, which is what makes it comparable across decades even as the price level changes.
Worked example, live prices: $4,642.64 ÷ $68.84 = 67.44. So one troy ounce of gold currently trades for about 67.44 troy ounces of silver, and 10 ounces of gold would be worth roughly 674.4 ounces of silver.
Calculating a ratio between different units
Gold and silver share a unit, so their ratio is unambiguous. Most other pairs do not. Crude oil is quoted per barrel, natural gas per MMBtu, copper per pound, corn and wheat per bushel. A ratio across two different units is still perfectly valid — it just has to be read as a rate rather than a count:
- Gold ÷ WTI crude gives barrels per troy ounce — how much oil an ounce of gold buys.
- Copper ÷ gold gives troy ounces of gold per pound of copper, which is why that ratio is such a small decimal.
- Soybeans ÷ corn gives a clean unitless number, because both are quoted per bushel.
The calculator prints the unit basis under every result for exactly this reason. Most ratio pages leave the units implied, which is where the misreadings come from.