On Temperature Coefficient Unit ppm/°C

Since ppm is an abbreviation for "part per million", here is an intuitive interpretation:
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A resistor that has 100ppm/°C as its temperature coefficient means that
Once the temperature rises above or drops below the specified temperature range, 100 parts per million will deviate from the nominal value with every 1°C temperature increase or decrease.
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It seems plausible but unfortunately wrong. The correct interpretation is:
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1 ppm/°C means that the value of the component changes by 1 millionth (or 1e-4%) per degree.
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Therefore, a capacitor that has 1000 ppm/°C changes its value by 6% from 25°C to 85°C.
It's obvious the the use of the unit "ppm" causes great confusion. I suppose it's again a legacy issue.