'extracting the critical point of a function in Mathematica

Let's consider the function
f[x]:=x^3
To find the maximum value of this function in Mathematica, we can use
FindMaximum[f[x],x]/ which displays the result
{2.093608796950724*10^313, {x -> 2.75612*10^104}}.
this shows that x=2.75612*10^104 is a critical value for f(x) in some interval.
How can I extract this value of x to be used in my code further? For example, if I want to get \frac{x_0 - x}{f(x_0)}?



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