Eating saturated, trans, or monounsaturated fats doesn’t seem to affect your chances of dying from cancer, based on a long-term study of over 100,000 American adults.

Eating more or less of different kinds of fats—like those in butter, olive oil, or fish—doesn’t seem to change your risk of dying from any cause, as long as you’re otherwise healthy and you account for other lifestyle factors.

People who eat a higher share of saturated fats compared to all the fat they consume are more likely to die from any cause, even if they’re not eating more fat overall — and this holds true after accounting for things like age, lifestyle, and health markers.

Eating too much saturated fat might increase your risk of dying from any cause, especially cancer — the more you eat (up to a point), the higher the risk, according to big studies that followed people for years.

Eating more saturated fat might shorten your life — studies show people aged 55 to 74 who eat more of it have a higher chance of dying earlier, so cutting back could help you live longer.

People in the U.S. who eat more of the healthy fats (like those in fish and nuts) compared to their total fat intake tend to live longer, even if they eat the same amount of fat overall — and this holds true no matter their age, gender, income, or health habits.