Total percentage difference of items

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If I take say $40\%$ of $X$ to create $Y$, and then $40\%$ off of $Y$ to create $Z$ how do I work out the total percentage taken off of $X$ to get to $Z$?

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If you take $40\%$ of $X$ uniformly to create $Y$ and then $40\%$ from $Y$ (which is now $40\%$ $X$) to create $Z$ then you would have $40\%$ of $40\%$ of $X$, which is $0.40\cdot0.40=0.16=16\%$.

If this is not done uniformly, but randomly you will have an upper bound of $16\%$ (that is, $Z$ will be between $0%$ to $16\%$ $X$).