What is the upper limit to this, I will ask.
At what concentration of cucumber does the water cease to be cucumber water, or is it cucumber water no matter the ratio?
If there is a limit, then what defines it? The taste is "overpowering in its inoffensive nothingness", which raises the question, "Overpowering in regards to what?" It cannot be over anything, for then there is no limit. If it is to water, then we may find other solutions in which cucumber cannot assert its taste, then find the limit through those means.
If there is no limit, then any amount of water with any amount of any form of cucumber in it is cucumber water. Now, we must answer the question, what constitutes part of a cucumber? As your cucumber is grated, then the ability to make something into cucumber water is possessed not only by whole cucumbers, but anything that is a part of a cucumber as we assume no limit on concentration, and so any part of a cucumber has this ability-let there be a body of water that is infinitely large with any non-infinite amount of cucumber in it, then take that ratio. However, then each individual atom that composes a cucumber is capable of infusing water with a cucumbery taste, of which I do not detect in my water bottle that is currently next to me. If any concentration of cucumber could make water taste like a cucumber, then any bit of water in my life could strangely taste like cucumber, as a single atom that was part of a whole cucumber at a point in time would all but certainly be part of that water, thereby establishing its taste, which as you have stated, is overwhelming. However, I have only tasted cucumber when I have eaten cucumber or placed cucumber in water. Therefore, by induction, there seems to be a limit.
There is a problem to the above argument, however. If cucumber water has a portion of water taken from it, then that portion, if it contains no cucumber, is no longer cucumber water. While the water that I have tasted throughout my life may have once been cucumber water, it may have then been removed with no cucumber present, leading it to no longer taste of cucumber, leaving my inference's strength dependant on how much water I have tasted in my life by induction.
This is ignoring all subatomic particles and whether energy created from the destruction of cucumber particles counts as cucumber or not, which I am not qualified to discuss.
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