What is x when 96 divided by x equals 97?

To find the answer, just divide the dividend by the quotient: 96 ÷ 97 = 0.98969072164948

To prove this, let's compute 96 divided by 0.98969072164948: $\frac{96}{0.98969072164948} = 97$

How does it work?

Asking what the value of x could be when 96 divided by x gives a result of 97, is equivalent to solving the following equation:

$\frac{96}{x} = 97$

Multiply both sides by x: $\frac{96 x}{x} = 97 x$
$\frac{96 x}{x}$ is equivalent to $\frac{x}{x} \times 96$ , which simplifies to $1 \times 96$ (or just $96$ ).
Thus, the equation becomes: $96 = 97 x$
To find x, divide both sides by 97: $\frac{96}{97} = \frac{97 x}{97}$
Which gives, after simplification: $0.98969072164948 = x$ (or $x = 0.98969072164948$ )

So, if the dividend is 96 and the quotient is 97, the divisor is 0.98969072164948.