Is percentage a continuous or discrete variable?

is it integer values, or can it assume any value?

It can take any value right?

Percentage is considered a continuous variable. A continuous variable can take on any value within a range, including decimal values. In the case of percentages, the values can range from 0% to 100%. Continuous variables are typically measured on a scale or continuum, where there are infinite possible values between any two points. For instance, if you have a data set where the percentage of something is being measured, it is generally expected that the percentage can take on any value, rather than being restricted to specific discrete options.