What is x when 96 divided by x equals 95?

To find the answer, just divide the dividend by the quotient: 96 ÷ 95 = 1.0105263157895

To prove this, let's compute 96 divided by 1.0105263157895: $\frac{96}{1.0105263157895} = 95$

How does it work?

Asking what the value of x could be when 96 divided by x gives a result of 95, is equivalent to solving the following equation:

$\frac{96}{x} = 95$

Multiply both sides by x: $\frac{96 x}{x} = 95 x$
$\frac{96 x}{x}$ is equivalent to $\frac{x}{x} \times 96$ , which simplifies to $1 \times 96$ (or just $96$ ).
Thus, the equation becomes: $96 = 95 x$
To find x, divide both sides by 95: $\frac{96}{95} = \frac{95 x}{95}$
Which gives, after simplification: $1.0105263157895 = x$ (or $x = 1.0105263157895$ )

So, if the dividend is 96 and the quotient is 95, the divisor is 1.0105263157895.