What is x when 99 divided by x equals 27?

To find the answer, just divide the dividend by the quotient: 99 ÷ 27 = 3.6666666666667

To prove this, let's compute 99 divided by 3.6666666666667: $\frac{99}{3.6666666666667} = 27$

How does it work?

Asking what the value of x could be when 99 divided by x gives a result of 27, is equivalent to solving the following equation:

$\frac{99}{x} = 27$

Multiply both sides by x: $\frac{99 x}{x} = 27 x$
$\frac{99 x}{x}$ is equivalent to $\frac{x}{x} \times 99$ , which simplifies to $1 \times 99$ (or just $99$ ).
Thus, the equation becomes: $99 = 27 x$
To find x, divide both sides by 27: $\frac{99}{27} = \frac{27 x}{27}$
Which gives, after simplification: $3.6666666666667 = x$ (or $x = 3.6666666666667$ )

So, if the dividend is 99 and the quotient is 27, the divisor is 3.6666666666667.