MHB Trying to reverse structure a calculation to arrive at original variable

AI Thread Summary
To reverse-calculate the original variable A from the known value B, the equation B = (A x 0.0175) + A can be simplified to 1.0175A = B. By isolating A, dividing both sides by 1.0175 yields A = B / 1.0175. This method allows for the determination of A when B is known and the multiplier of 0.0175 is constant. The calculation effectively demonstrates how to derive A from B using basic algebraic manipulation.
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Trying to reverse-calculate an equation to achieve one of the original variables when not present.

1) You have a number... A (which is always a positive number)

2) A is multiplied by 1.75%

3) This result is then added to A, and the resulting sum being B, i.e. (A x 0.0175) + A = B

In my scenario, the 0.0175 multiplier is known and is constant. Also, value B is known. I'm struggling to reverse structure this equation to arrive at A.

Any help/insight would be greatly appreciated.
 
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What you have after combining like terms is:

$$1.0175A=B$$

And so dividing both sides by 1.0175, you obtain:

$$A=\frac{B}{1.0175}=\frac{400}{407}B$$
 
Thank you!
 
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