I'll try here before posting a new one.
Anyone disagree with the following line of thought?
When you said "although generally substitute with a higher value" I'm assuming you mean something like 470uF to 680uF ?
Also, if the tolerance is sloppy, like 20% I think I'd be reasonably comfortable going with a 680uF as long as I confirm a reasonable value thru measuring it.
I'd also be going from 16V to 25V.
Also, the particular cap I'm looking at is used in an LED strip power circuit, so again I think I'm reasonably ok going with the 680uF 25V as a replacement for the 470uF 16V +/-20% (470uF+20%~564uF) as long as I measure the 680uF and it's on the low side of its tolerance (for example 680uF - 20% ~544uF which is within the +20% value of a 470uF cap).
Pretty sure I also won't have a problem going from 16V to 25V.