What is x when 97 divided by x equals 85?

To find the answer, just divide the dividend by the quotient: 97 ÷ 85 = 1.1411764705882

To prove this, let's compute 97 divided by 1.1411764705882: $\frac{97}{1.1411764705882} = 85$

How does it work?

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

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

Multiply both sides by x: $\frac{97 x}{x} = 85 x$
$\frac{97 x}{x}$ is equivalent to $\frac{x}{x} \times 97$ , which simplifies to $1 \times 97$ (or just $97$ ).
Thus, the equation becomes: $97 = 85 x$
To find x, divide both sides by 85: $\frac{97}{85} = \frac{85 x}{85}$
Which gives, after simplification: $1.1411764705882 = x$ (or $x = 1.1411764705882$ )

So, if the dividend is 97 and the quotient is 85, the divisor is 1.1411764705882.