What is x when 85 divided by x equals 97?

To find the answer, just divide the dividend by the quotient: 85 ÷ 97 = 0.87628865979381

To prove this, let's compute 85 divided by 0.87628865979381: $\frac{85}{0.87628865979381} = 97$

How does it work?

Asking what the value of x could be when 85 divided by x gives a result of 97, is equivalent to solving the following equation:

$\frac{85}{x} = 97$

Multiply both sides by x: $\frac{85 x}{x} = 97 x$
$\frac{85 x}{x}$ is equivalent to $\frac{x}{x} \times 85$ , which simplifies to $1 \times 85$ (or just $85$ ).
Thus, the equation becomes: $85 = 97 x$
To find x, divide both sides by 97: $\frac{85}{97} = \frac{97 x}{97}$
Which gives, after simplification: $0.87628865979381 = x$ (or $x = 0.87628865979381$ )

So, if the dividend is 85 and the quotient is 97, the divisor is 0.87628865979381.