Solve for x: -0.07116428528124 = -104,431,740.75 / x * 100%.

Step-by-step solution

1. 1

   Interpret the notation carefully. The left side is written as a plain decimal, not a percentage, while the right side carries $\times 100\%$. Since $100\%=1$, that factor changes nothing, and the equation reads

   $-0.07116428528124=\frac{-104{,}431{,}740.75}{x}$

   This reading matters: if the left side were instead $-0.0711\%$, the answer would be a hundred times larger.

2. 2

   Cancel the common negative sign. Both sides are negative, so

   $0.07116428528124=\frac{104{,}431{,}740.75}{x}$

   and $x$ must be positive.

3. 3

   Solve by cross-multiplication.

   $x=\frac{104{,}431{,}740.75}{0.07116428528124}$

4. 4

   Evaluate.

   $x\approx 1{,}467{,}474{,}033.32$

   The ratio $-0.0711643$ corresponds to a loss of about $7.12\%$ of the base — a larger rate than the $6.75\%$ variant of this problem, so the base is correspondingly smaller.

5. 5

   Verify by dividing back.

   $\frac{-104{,}431{,}740.75}{1{,}467{,}474{,}033.32}=-0.07116428528\;\checkmark$

   matching all twelve given digits. By contrast $1{,}467{,}444{,}774$ returns $-0.07116570$, which disagrees in the sixth decimal place.