Originally Posted by
dragon man
The dictionary definition is 'a class in a system of classification determined by size, typically in powers of ten'. A change of one order of magnitude is the equivalent of moving the decimal point one place to the left or right. N orders of magnitude = 10 raised to the power of N.
So when somebody says that something is 'orders (plural) of magnitude higher' than something else it means that something is at least one hundred times higher than something else.
I didn't land on 'at least 100 times' by happenstance.