What is x when 75 divided by x equals 27?

To find the answer, just divide the dividend by the quotient: 75 ÷ 27 = 2.7777777777778

To prove this, let's compute 75 divided by 2.7777777777778: $\frac{75}{2.7777777777778} = 27$

How does it work?

Asking what the value of x could be when 75 divided by x gives a result of 27, is equivalent to solving the following equation:

$\frac{75}{x} = 27$

Multiply both sides by x: $\frac{75 x}{x} = 27 x$
$\frac{75 x}{x}$ is equivalent to $\frac{x}{x} \times 75$ , which simplifies to $1 \times 75$ (or just $75$ ).
Thus, the equation becomes: $75 = 27 x$
To find x, divide both sides by 27: $\frac{75}{27} = \frac{27 x}{27}$
Which gives, after simplification: $2.7777777777778 = x$ (or $x = 2.7777777777778$ )

So, if the dividend is 75 and the quotient is 27, the divisor is 2.7777777777778.