How get the cost price?

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I have the following spreadsheet:

Spreadsheet

For column B, the formula is simple: B1 + (B1 * A2)

The question is: how to get the numbers in column C?

I manually typed all values on column C but the idea is if I type 24200 on C1, it calculates all the other values.

24200 - 10% = 21780

21780 is 220 less than the initial price of 22000.

I think that a better question is:

If I replace all values between lines 2 and 11 by X so

X + 1% = 24200, X + 2% = 24200, X + 3% = 24200?

How to calculate X for each line on column C?

Thank you.

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One way is $C=46200-B$. I am sure that is not what you are looking for, but it gets all the right numbers.

Added: with your addition that you want to understand $$X+3\%=24200$$ that should really be written $$X+3\% \cdot X=1.03 \cdot X=24200\\ X=\frac {24200}{1.03}$$
Calculators will use the syntax $X+A\%$ to mean $X\cdot (1+\frac A{100})$. It is not correct to write it that way. If read properly, $X+A\%=X+\frac A{100}$, so $24200+3\%=24200.03$ which is not what you want.