I understand what you are trying to ask. The Fahrenheit and Celsius scales were developed independently. Normally when that happens you don’t get clean conversion ratios like 9/5. See the conversion ratios for length and masss to see what I mean.
It looks like the standard for the Fahrenheit scale was modified in the 1770s to fix the freezing point of water to 32 and the boiling point of water to 212. This was done because of the popularity how the Celsius scale worked. The previous Fahrenheit standard used a brine solution and body temperature. The Celsius *method* proved easier for calibration.
So, the Fahrenheit standard simply pegged its scale to 180C/100 + 32 very early.
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