A bottom-up conversion (1 d = 1 c) seems wrong. The fundamental unit of currency was the pound, not the pence.
If they had used a top-down conversion starting with 1 £ = 1 $, then a florin (0.1 £) would have become 10 cents.
How did the British do it when they converted?
(Incidentally, you didn't convert to "metric" currency, you converted to "decimal" currency.)

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