Trying to reverse structure a calculation to arrive at original variable

[lsargent]

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.

 

[MarkFL]

What you have after combining like terms is:

\(\displaystyle 1.0175A=B\)

And so dividing both sides by 1.0175, you obtain:

\(\displaystyle A=\frac{B}{1.0175}=\frac{400}{407}B\)

 

[lsargent]

Thank you!