What's the function to show how much percent must you go up to the same point if you went down 1%, 2%, etc?

1 Answer

Answer :

answer:Hmm. An interesting question. Let’s do the math out. Let W = the original Whole amount Let X = the percentage to remove (expressed in % form). Then the new amount N = W – (X * W)= W * (1 – X). Let Y = the percentage of the new amount N needed to be added to N to get back to W N + (N * Y) = W Solve for Y: N * (1 + Y) = W 1 + Y = W / N Y = (W / N) – 1 Now express Y in terms of X: Y = (W / (W * (1 – X) ) – 1 Y = (1 / (1 – X) ) – 1 Plugging a few values into Excel shows that this math does in fact work out. A few sample values: X = 1% ; Y = 1.010% X = 5% ; Y = 5.263% X = 10% ; Y = 11.111% X = 25% ; Y = 33.333% X = 50% ; Y = 100% X = 75% ; Y = 300% X = 99% ; Y = 9900% X = 100% Y = [undefined]

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